If the displacement of a particle varies with time as x = t + 7 , then

The particle moves with constant acceleration.

Velocity of the particle is inversely proportional to t

Velocity of the particle is proportional to t 2

Velocity of the particle is proportional to t

Physics - Motion Straight Line - Quiz-11

A player throws a ball upwards with an initial speed of $29.4 m s^{- 1}$ . What is the direction

of acceleration during the upward motion of the ball?

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Vertically downwards
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Vertically upwards
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First upwards then downwards
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None of the above

A particle in one-dimensional motion:

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with zero speed at an instant may have non-zero acceleration at that instant.
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with zero speed may have non-zero velocity.
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with constant speed, must have non-zero acceleration.
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with a positive value of acceleration must be speeding up.

A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. What is the magnitude of the average velocity of the man over the interval of time 0 to 30 min?

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6 km/h
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5 km/h
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5.6 km/h
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6.6 km/h

The instantaneous speed is always:

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less than the magnitude of instantaneous velocity.
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greater than the magnitude of instantaneous velocity.
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equal to the magnitude of instantaneous velocity.
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may be less or greater than the magnitude of instantaneous velocity.

A police van moving on a highway with a speed of $30 k m h^{- 1}$ fires a bullet at a thief’s car speeding away in the same direction with a speed of $192 k m h^{- 1}$ . If the muzzle speed of the bullet is $150 m s^{- 1},$ with what speed does the bullet hit the thief’s car?

$(1) 103 m s^{- 1} (2) 105 m s^{- 1} (3) 101 m s^{- 1} (4) 102 m s^{- 1}$

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1
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2
0%
3
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4

The figure gives the x-t plot of a particle in a one-dimensional motion. Three different equal intervals of time are shown. The signs of average velocity for each of the intervals 1, 2 & 3, respectively, are

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$-, -, +$
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+, -, +
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-, +, +
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+, +, -

The figure gives a speed-time graph of a particle in motion along the same direction. Three equal intervals of time are shown. In which interval is the average acceleration greatest in magnitude?

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Interval 2
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Interval 1
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Interval 3
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Equal in all intervals.

A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to $49 m s^{- 1} .$ How much time does the ball take to return to his hands?

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5 s
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10 s
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15 s
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7 s

On a long horizontally moving belt (as shown in the figure) a child runs to and fro with a speed $9 k m h^{- 1}$ (with respect to the belt) between his father and mother located 50 m apart on the moving belt. The belt moves with a speed of $4 k m h^{- 1}$ . For an observer on a stationary platform outside, what is the speed of the child running in the direction of motion of the belt?

panga4

$(1) 5 k m h^{- 1} (2) \sqrt{41} k m h^{- 1} (3) 21 k m h^{- 1} (4) 13 k m h^{- 1}$

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1
0%
2
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3
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4

A passenger arriving in a new town wishes to go from the station to a hotel located 10 km away on a straight road from the station. A dishonest cabman takes him along a circuitous path 23 km long and reaches the hotel in 28 min. The average speed of the taxi is:

$(1) 48 km h^{- 1} (2) 49.3 km h^{- 1} (3) 50 km h^{- 1} (4) 48.42 km h^{- 1}$

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4
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1
0%
2
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3

A particle moves along the x-axis with a speed 6 m/s for the first half distance of a journey second half distance with a speed 3 m/s. The average speed in the total journey is

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5 m/s
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4.5 m/s
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4 m/s
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2 m/s

A car moves with a speed 60 km/h for 1 hour in the east direction and with the same speed for 30 min in the south direction. The displacement of the car from the initial position is

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30 $\sqrt{3}$ km
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60 km
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30 $\sqrt{5}$ km
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60 $\sqrt{2}$ km

A person travels along a straight road for the first $\frac{t}{3}$ time with a speed v₁ and for next $\frac{2 t}{3}$ time with a speed v₂. Then the mean speed v is given by

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$v = \frac{v_{1} + 2 v_{2}}{3}$
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$\frac{1}{v} = \frac{1}{3 v_{1}} + \frac{2}{3 v_{2}}$
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$v = \frac{1}{3} \sqrt{2 v_{1} v_{2}}$
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$v = \sqrt{\frac{3 v_{2}}{2 v_{1}}}$

Figure shows the graph of x-coordinate of a particle moving along x-axis as a function of time. Average velocity during t=0 to 6 s and instantaneous velocity at t=3 s respectively, will be

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10 m/s, 0
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60 m/s, 0
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0,0
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0, 10 m/s

Position-time graph for a particle is shown in the figure. Starting from t=0, at what time t, the average velocity is zero?

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1 s
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3 s
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6 s
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7 s

A body in one-dimensional motion has zero speed at an instant. At that instant, it must have:

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zero velocity.
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zero acceleration.
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non-zero velocity.
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non-zero acceleration.

If a particle is moving along a straight line with increasing speed, then:

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its acceleration is negative.
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its acceleration may be decreasing.
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its acceleration is positive.
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both (2) & (3)

At any instant, the velocity and acceleration of a particle moving along a straight line are v and a. The speed of the particle is increasing if

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v>0, a>0
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v<0, a>0
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v>0, a<0
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v>0, a=0

If the magnitude of average speed and average velocity over a time interval are the same, then

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The particle must move with zero acceleration
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The particle must move with non-zero acceleration
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The particle must be at rest
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The particle must move in a straight line without turning back

If v is the velocity of a body moving along x-axis, then acceleration of body is

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$\frac{d v}{d x}$
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$v \frac{d v}{d x}$
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$x \frac{d u}{d x}$
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$v \frac{d x}{d v}$

If a body is moving with constant speed, then its acceleration

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Must be zero
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May be variable
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May be uniform
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Both (2) & (3)

When the velocity of a body is variable, then

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its speed may be constant.
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its acceleration may be constant.
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its average acceleration may be constant.
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All of the above

An object is moving with variable speed, then

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Its velocity may be zero
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Its velocity must be variable
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Its acceleration may be zero
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Its velocity must be constant

The position of a particle moving along x-axis is given by $x = 10 t - 2 t^{2}$ . Then the time (t) at which it will momently come to rest is

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0
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2.5 s
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5 s
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10 s

If the displacement of a particle varies with time as $\sqrt{x} = t + 7$ , then

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Velocity of the particle is inversely proportional to t
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Velocity of the particle is proportional to t²
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Velocity of the particle is proportional to $\sqrt{t}$
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The particle moves with constant acceleration.

The initial velocity of a particle is u (at t=0) and the acceleration a is given by $α t^{3 / 2}$ . Which of the following relations is valid?

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$v = u + α t^{3 / 2}$
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$v = u + \frac{3 α t^{3}}{2}$
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$v = u + \frac{2}{5} α t^{5 / 2}$
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$v = u + α t^{5 / 2}$

For the acceleration-time (a-t) graph shown in figure, the change in velocity of particle from t=0 to t=6 s is

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10 m/s
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4 m/s
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12 m/s
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8 m/s

The position x of a particle moving along the x-axis varies with time t as $x = A \sin (ω t)$ where A and $ω$ are positive constants. The acceleration a of the particle varies with its position (x) as

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a = Ax
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$a = - ω^{2} x$
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$a = A ω x$
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$a = ω^{2} \times A$

A particle moves in a straight line and its position x at time t is given by x²= 2 + t. Its acceleration is given by

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$\frac{- 2}{x^{3}}$
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$- \frac{1}{2 x^{2}}$
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$- \frac{1}{4 x^{3}}$
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$\frac{1}{x^{2}}$

A body is moving with variable acceleration (a) along a straight line. The average acceleration of the body in time interval t₁ to t₂ is

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$\frac{a [t_{2} + t_{1}]}{2}$
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$\frac{a [t_{2} - t_{1}]}{2}$
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$\frac{\int_{t_{1}}^{t_{2}} a d t}{t_{2} + t_{1}}$
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$\frac{\int_{t_{1}}^{t_{2}} a d t}{t_{2} - t_{1}}$

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Practice Physics Quiz Questions and Answers

0:0:1

Practice Physics Quiz Questions and Answers

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