CBSE Questions for Class 11 Engineering Physics Motion In A Straight Line Quiz 6 - MCQExams.com

For ordinary terrestrial experiments, the observer in an inertial frame in the following cases is 
  • A child revolving in a-giant wheel
  • A driver in a sports car moving with a . constant high speed of $$\displaystyle 200{ kmh }^{ -1 }$$ on a straight road
  • The pilot of an aeroplane which is taking off
  • A cyclist negotiating a-sharp curve

A ball is thrown upwards. Its height varies with time as follows:

If the acceleration due to gravity is $$7.5   {m}/{{s}^{2}}$$, then the height $$h$$ is :


430145.png
  • $$10 m$$
  • $$15 m$$
  • $$20 m$$
  • $$25 m$$
A balloon starts rising from the ground, vertically upwards uniformly at the rate of $$\displaystyle 1\ { ms }^{ -1 }$$ . At the end of $$4$$ seconds, a body was released from the balloon. Calculate the time taken by the released body to reach the ground. Take $$\displaystyle g = 10\ { ms }^{ -2 }$$
  • $$4$$ s
  • $$1$$ s
  • $$6$$ s
  • $$3$$ s
A ball is thrown upwards with a velocity of $$25 m/s$$. What is the time taken by the ball to return to the thrower ($$g=10\:m/s^2$$)
  • $$5 sec$$
  • $$2.5 sec$$
  • $$3 sec$$
  • $$4.2 sec$$
Assertion: The driver in a vehicle moving with a constant speed on a straight road is an inertial frame of reference.
Reason: A reference frame in which Newton's laws of motion are applicable is non-inertial.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion
  • If Assertion is true statement but Reason is false.
  • If both Assertion and Reason are false statements.
A car accelerates steadily so that it goes from a velocity of 20 m/s to a velocity of 40 m/s in 4 seconds. What is its acceleration?  
  • 0.2 $$m/s^2$$
  • 4 $$m/s^2$$
  • 5 $$m/s^2$$
  • 10 $$m/s^2$$
  • 80 $$m/s^2$$

Which of the following statement must always be true?

I.If an objects acceleration is zero, then its speed must remain constant.

II. If an objects acceleration is constant, then it must move in a straight line.

III. If an objects speed remains constant, then its acceleration must be zero.

  • I and II only
  • I and III only
  • I only
  • III only
  • II and II only
The velocity-time graph below represents the velocity of a toy train as it moves north and south with velocity near the middle of the vertical axis. During which, Interval(s) is the toy train speeding up?
492356_69058c5443c74b4f8e2ec0175256db18.png
  • $$0\ to\ A$$ only
  • $$0\ to\ A$$ and $$D\ to\ E$$
  • $$A\ to\ B$$ 
  • $$B\ to\ D$$  only
  • $$A\ to\ B$$ and $$D\ to\ E$$ 
A sprinter starts from rest and accelerates at a steady rate for the first $$50 m $$ of a $$100 m$$ race, and then continues at a constant velocity for the second $$50 m$$ of the race. If the sprinter runs the $$100 m$$ in a time of $$10 s$$, what is his instantaneous velocity when he crosses the finish line? 
  • $$5 m/s$$
  • $$10 m/s$$
  • $$12 m/s$$
  • $$15 m/s$$
  • $$20 m/s$$
Which of the following vehicles is undergoing a deacceleration?
  • A car driving straight to the east on a road at a constant speed
  • A truck rounding a corner at a constant speed
  • A van slowing down as it approaches a stop sign
  • None of these
An object thrown vertically upwards with a velocity of 25 m/s takes 4 sec to reach the thrower. What is displacement of the object?
  • 100 m
  • 180 m
  • 0 m
  • 120 m
A girl is 13m away from a tree. An apple falls from the tree at height of 2.8 m. If she wants to catch the apple before it hits the ground then how fast does she need to run?
  • $$9.83{m}{s^{-1}}$$
  • $$0.755 \frac{m}{s}$$
  • More information is needed to solve
  • $$17.22 {m}{s^{-1}}$$
  • $$ 1.33 \frac{m}{s}$$
By applying brakes, a car moving at $$1 m{s}^{-1}$$ is brought to rest in 3 s. If it moves at $$2 m{s}^{-1}$$, how long will it take to come to rest?
  • $$6s$$
  • $$12s$$
  • $$3s$$
  • $$1s$$
A 10 kg object free-falling from a cliff. Find out the velocity of the object after 1 sec and after 2 sec?

  • 9.8 m/sec after 1 sec and 19.6 m/sec after 2 sec
  • 9.8 m/sec after 1 and 2 sec
  • 9.8 m/sec after 1 sec and 29.4 m/sec after 2 sec
  • 19.6 m/sec after 1 sec and 29.4 m/sec after 2 sec
  • Cannot determine with information provided
The ratio of distances travelled by two bodies A and B starting from rest moving along a straight line with equal acceleration is n, then (Assume $$t_A, t_B$$ as time taken by bodies A and B respectively).
  • $$t_A \ge t_B$$, if $$n \ge 1$$
  • $$t_A \le t_B$$, if $$n \le 2$$
  • $$t_A = t_B$$, if $$n = 1$$
  • $$t_A > t_B$$, if $$n < 1$$
A cat running with constant acceleration in one direction is at rest initially and has velocity $$v\left(t\right)=1.00{m}/{s}$$ at $$2.00$$ seconds later.
At $$t=4.00$$ seconds, how far away from the starting point will the cat be?
  • $$0.00m$$
  • $$1.00m$$
  • $$2.00m$$
  • $$4.00m$$
  • $$8.00m$$
A driver applies brakes when he sees a child on the railway track, the speed of the train reduces from 54 km $$h^{-1}$$ to 18 km $$h^{-1}$$ in 5 s. What is the distance travelled by the train during this interval of time?
  • 52 m
  • 50 m
  • 25 m
  • 80 m
A particular rocket is propelled in one direction such that its acceleration as a function of time is expressed by $$a\left(t\right)=A{t}^{2}+B$$ where $$A$$ and $$B$$ are constants.
The position function of the rocket should depend on which power of $$t$$?
  • $${t}^{1}$$
  • $${t}^{2}$$
  • $${t}^{3}$$
  • $${t}^{4}$$
  • Not enough information
A $$50.0\ kg$$ boy is sitting on an amusement park ride where he accelerates straight upward from rest to a speed of $$30.0 m/s$$ in $$3.0 s$$
What is his mass as he accelerates upward?
  • $$990.0 kg$$
  • $$100.0 kg$$
  • $$50.0 kg$$
  • $$5.00 kg$$
  • $$0 kg$$
A body having zero speed for long tme :
  • It is always under rest.
  • It has zero acceleration.
  • It has uniform acceleration.
  • It is always under motion.
Two trains depart from one station, one going north at $$30.00$$ miles per hour, and another going west, steadily accelerating with a rate of $$0.3333$$ miles per minute.
How many minutes after departure would the two trains be $$50.00$$ miles apart?
  • $$17.19min$$
  • $$76.28min$$
  • $$89.54min$$
  • $$120.0min$$
  • $$240.0min$$
At an airport, a bored child starts to walk backwards on a moving platform. The child accelerates relative to the platform with $$a=-0.5{m}/{{s}^{2}}$$ relative to the platform.
The platform moves with a constant speed $$v=+1.0{m}/{s}$$ relative to the stationary floor.
In $$4.0$$ seconds, how much will the child have been displaced relative to the floor?
  • $$8m$$
  • $$4m$$
  • $$3m$$
  • $$0m$$
  • $$-4m$$
The length of a minute hand of a clock is 4 cm. Find the displacement and average velocity of the tip of the minute hand when it moves during a time interval from
(a) 3: 15 pm to 3 : 30 pm(b) 4: 15 pm to 4: 45 pm.
  • (a) $$\dfrac{\sqrt{2}}{225} cm s^{-1}$$ (b) $$\dfrac{2}{225} cm s^{-1}$$
  • (a) $$\dfrac{\sqrt{3}}{225} cm s^{-1}$$ (b) $$\dfrac{1}{225} cm s^{-1}$$
  • (a) $$\dfrac{\sqrt{2}}{225} cm s^{-1}$$ (b) $$\dfrac{1}{225} cm s^{-1}$$
  • (a) $$\dfrac{\sqrt{12}}{225} cm s^{-1}$$ (b) $$\dfrac{2}{225} cm s^{-1}$$
A cart is released from rest at the top of a long ramp at time $$t = 0$$ seconds and moves down the ramp at a constant acceleration rate. At a time of t, the cart has reached a speed of $$2 m/s$$. How fast will the cart be moving at the time of $$3t$$?
  • $$3 m/s$$
  • $$6 m/s$$
  • $$12 m/s$$
  • $$18 m/s$$
A body traversed half of the distance with a velocity $$V_0$$. The remaining part $$V_1$$ for half of the time and with the velocity $$V_2$$ for the other half of the time. Find the average velocity of the body over the whole journey.
  • $$\dfrac{2V_0(V_1 + V_2)}{(2V_0 + V_1 + V_2)}$$
  • $$\dfrac{3V_0(V_1 + V_2)}{(2V_0 + V_1 + V_2)}$$
  • $$\dfrac{2V_0(V_1 + V_2)}{(3V_0 + V_1 + V_2)}$$
  • $$\dfrac{V_0(V_1 + V_2)}{(2V_0 + V_1 + V_2)}$$
A car moving at a certain speed stops on applying brakes within 16 m. If the speed of the car is doubled, maintaining the same retardation. then at what distance does it stop? Also, calculate the percentage change in this distance.(in percent)
  • 300
  • 3000
  • 500
  • 1300
equation for uniform accelerated motion for the displacement covered in its nth second of its motion is?
  • $${S}_{n}=u+a\left(n-\dfrac{1}{3}\right)$$
  • $${S}_{n}=u+a\left(n-\dfrac{1}{2}\right)$$
  • $${S}_{n}=u2+a\left(n-\dfrac{1}{2}\right)$$
  • $${S}_{n}=u/2+a\left(n-\dfrac{1}{2}\right)$$
A bullet is fired vertically upwards with an initial velocity of 50 m $$s^{-1}$$. It covers a distance h, during the first second and a distance $$h_2$$ during the last 3 seconds of its upward motion. If g = 10 m $$s^{-2}$$, how are $$h_1$$ and $$h_2$$ related to each other.
  • $$h_1 = h_2$$
  • $$h_1 = 2h_2$$
  • $$2h_1 = h_2$$
  • $$3h_1 = h_2$$
State whether true or false.
A body undergoing linear motion can have velocity and acceleration in opposite directions.
  • True
  • False
An insect moves along the sides of a wall of dimensions 12 m x 5 m starting from one corner and reaches the diagonally opposite corner. If the insect takes 2 s for its motion then find the ratio of average speed to average velocity of insect.
  • 17 : 13
  • 27 : 13
  • 17 : 16
  • cant say
A stone falls freely from rest, and the total distance covered by it in the last second of its motion, equals the distance covered by it in the first three seconds of its motion. Find the time for which stone remains in the air and the total height from where stone is dropped.
  • 5 s, 122.5 m
  • 5 s, 222 m
  • 6 s, 122.5 m
  • 7 s, 122.5 m
A body is projected vertically upwards. If $$a$$ and $$b$$ be the times at which it is at height $$h$$ above the point of projection while ascending and descending respectively, then $$h$$ is :
(Take $$g=10 \ m/s^2$$)
  • $$5ab$$
  • $$4ab$$
  • $$ab$$
  • $$2ab$$
A body thrown vertically up from the ground passes the height $$10.2m$$ twice at an interval of $$10s$$. What was its initial velocity? (in m/s)
  • $$52$$
  • $$53$$
  • $$51$$
  • $$49$$
Person $$A$$ walking along a road at $$3ms^{-1}$$ sees another person $$B$$ walking on another road at right angle to his road. Velocity of B is $$4ms^{-1}$$ when he is $$10m$$ off. They are nearest to each other when person A has covered a distance of
  • $$3.6$$
  • $$3.7$$
  • $$6.6$$
  • $$8$$
A passenger in moving train tosses a coin which falls behind him. It means that the motion of the train is
  • Accelerated
  • Uniform
  • Retarded
  • Circular motion
A car starts from rest and travels with uniform acceleration "$$\alpha$$" for some time and then with uniform retardation "$$\beta$$" and comes to rest. The time of motion is "$$t$$". Find the maximum velocity attained by it.
  • $${\alpha \beta t}/{\left(\alpha/2 + \beta\right)}$$
  • $${\alpha \beta t}/{\left(\alpha + \beta\right)}$$
  • $${\alpha \beta t}/{\left(\alpha + \beta/2\right)}$$
  • $${\alpha/2 \beta t}/{\left(\alpha + \beta\right)}$$
A body thrown vertically up from the ground passes the height $$10.2m$$ twice at an interval of $$10 sec$$. Its initial velocity was (in m/s) :
  • $$52$$
  • $$26$$
  • $$51$$
  • $$20$$
A person throws balls into air vertically upward in regular intervals of time of one second. The next ball is thrown when the velocity of the ball thrown earlier becomes zero. The height to which the balls rise is _____
(Assume, $$g = 10 m{s}^{-2}$$)
  • $$5 m$$
  • $$10 m$$
  • $$7.5 m$$
  • $$20 m$$
A motor scooter travels east at a speed of $$13 m/s$$. The driver then reverses direction and heads west at $$17 m/s$$.  What was the change in velocity of the scooter? (in m/s)
  • $$4$$
  • $$30$$
  • $$32$$
  • $$21$$
An airplane must reach a take of speed of $$80 m/s$$ in a $$1000 m$$ long runway. What minimum constant acceleration is required? (in $$m/s^2$$)
  • $$3.2$$
  • $$2.2$$
  • $$1$$
  • $$4$$
A race car accelerates uniformly from $$18.5 m/s$$ to $$46.1 m/s$$ in $$2.47$$ seconds. Determine the acceleration of the car. (in $$m/s^2$$)
  • $$11.2 m/s^2$$
  • $$11 m/s^2$$
  • $$1.2 m/s^2$$
  • $$51.2 m/s^2$$

How far below to top of the well is the surface of the water? 
  • $$72 m$$
  • $$71 m$$
  • $$70.4 m$$
  • $$70 m$$
A balloon is rising with a constant acceleration of $$2m/s^{2}$$. At a certain instant when the balloon was moving with a velocity of $$4m/s$$, a stone was dropped from it in a region where $$g = 10m/s^{2}$$. The velocity and acceleration of stone as it comes out from the balloon are respectively (in m/s and $$m/s^{2}$$)
  • $$4, 10$$
  • $$4, 5$$
  • $$10, 4$$
  • None of these
Luke Autbeloe drops a pile of roof shingles from the top of a roof located $$8.52$$ meters above the ground. Determine the time required for the shingles to reach the ground.
  • $$1 s$$
  • $$1.32 s$$
  • $$1.3 s$$
  • $$1.2 s$$
A marble starts falling from rest on a smooth inclined plane forming an angle $$\alpha$$ with horizontal. After covering distance $$h$$ the ball rebound off the plane. The distance from the impact point where the ball rebounds for second time is
  • $$8h sin{\alpha}$$
  • $$8h cos{\alpha}$$
  • $$h sin{\alpha}$$
  • $$h cos{\alpha}$$
A plane has a takeoff speed of $$88.3 m/s$$ and requires $$1365 m$$ to reach that speed. Determine the time required to reach this speed.
  • $$20. 8 s$$
  • $$30. s$$
  • $$30. 8 s$$
  • $$40. 8 s$$
Find the magnitude of constant acceleration (in $$m/s^2$$) needed to allow a car to accelerate in a straight line from a speed of zero to a speed of $$30 m/s$$ in $$5 s$$ :
  • $$7$$
  • $$6$$
  • $$5$$
  • $$4$$
It was once recorded that a Jaguar left skid marks that were $$290 m$$ in length. Assuming that the Jaguar skidded to a stop with a constant acceleration of $$-3.90 m/s^2$$, determine the speed of the Jaguar before it began to skid.
  • $$47.6 m/s$$
  • $$38.2 m/s$$
  • $$54.6 m/s$$
  • $$57.6 m/s$$
An aeroplane is flying horizontally with a velocity of $$600 km/h$$ and at a height of $$1960 m$$. When it is vertically at a point $$A$$ on the ground a bomb is released from it. The bomb strikes the ground at point $$B$$. The distance $$AB$$ is:
  • $$1200 m$$
  • $$0.33 km$$
  • $$3.33 km$$
  • $$33 km$$
The K.E. (K) of a particle moving along a circle of radius $$R$$ depends on the distance covered $$s$$ as $$K = a s^2$$. The force acting on particle is
  • $$\dfrac{2as^{2}}{R}$$
  • none of these.
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