JEE Questions for Physics Motion In A Plane Quiz 8 - MCQExams.com

A balloon is at a height of 81m and is ascending upwards with a velocity of 12 m/s. A body of 2 kg weight is dropped from it. If g = 10m/s2, the body will reach the surface of the earth in
  • 1.5 s
  • 4.025 s
  • 5.4 s
  • 6.75 g
The position of a particle moving in the xy-plane at any time t is given by x = (3t2 – 6t) metres, y = (t2 – 2t) metres. Select the correct statement about the moving particle from the following.
  • The acceleration of the particle is zero at t = 0 second
  • The velocity of the particle is zero at t = 0 second
  • The velocity of the particle is zero at t =1 second
  • The velocity and acceleration of the particle are never zero.
In 1.0s, a particle goes from point Ato point B, moving in a semicircle ofradius 1.0m Fig The magnitude ofaverage velocity is
Physics-Motion in a Plane-80707.png
  • 3.14 m/s
  • 2.0 m/s
  • 1.0 m/s
  • zero
A ball is dropped vertically from a height d above the ground. If hits the ground and bounces up vertically to a height d/2 Neglecting subsequent motion and air resistance, its velocity ν varies with the height h above the ground as

  • Physics-Motion in a Plane-80709.png
  • 2)
    Physics-Motion in a Plane-80710.png

  • Physics-Motion in a Plane-80711.png

  • Physics-Motion in a Plane-80712.png
The displacement of a particle is represented by the following equation: s = 3t3 + 7t2 + 5t + 8 where s is in metre and t in second.The acceleration of the particle at t =1 second is
  • 18m/s2
  • 14m/s2
  • 32m/s2
  • zero
A particle under the action of a constant force moves from rest upto20 seconds. If distance covered in first 10 seconds is S1 and that covered in next 10 seconds is S2,then
  • S1 = S2
  • S2 = 3S1
  • S2 = 2S1
  • S2 = 4S1
If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is
  • ut
  • 2)
    Physics-Motion in a Plane-80716.png

  • Physics-Motion in a Plane-80717.png

  • Physics-Motion in a Plane-80718.png
A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds.What should be the speed of the throw so that more than two balls are in the sky at any time ? (Given g= 9.8 m/s2)
  • more than 19.6 ms–1
  • At least 9.8m/s
  • Any speed less than 19.6 m/s
  • Only with speed 19.6ms–1
A car moving with a speed of 50km/h, can be stopped by brakes after at least 6m. If the same car is moving at a speed of 100 km/h, the minimum stopping distance is
  • 12m
  • 18m
  • 24m
  • 6m
A particle starts sliding down a frictionless inclined plane. If Sn is the distance travelled by it from time t = (n –sec to t = n second, the ratio Sn/Sn+1 is

  • Physics-Motion in a Plane-80722.png
  • 2)
    Physics-Motion in a Plane-80723.png

  • Physics-Motion in a Plane-80724.png

  • Physics-Motion in a Plane-80725.png
A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground what is the position of the ball in T/3 seconds?
  • h/9 metres from the ground
  • 7h/9 metres from the ground
  • 8h/9 metres from the ground
  • 17h/18 metres from the ground
A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at 2m/s2. He reaches the ground with a speed of 3 m/s. At what height, did he bail out?
  • 111 m
  • 293 m
  • 182 m
  • 91 m
A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?
  • 1.0 cm
  • 1.5 cm
  • 2.0 cm
  • 3.0 cm
A body of mass m is accelerated uniformly from rest to a speed υ in a time T. The instantaneous power delivered to the body as a function of time is given by

  • Physics-Motion in a Plane-80730.png
  • 2)
    Physics-Motion in a Plane-80731.png

  • Physics-Motion in a Plane-80732.png

  • Physics-Motion in a Plane-80733.png
When a ball is thrown up vertically with velocity νo it reaches a maximum height of h. if one wishes to triple the maximum height then the ball should be thrown with velocity

  • Physics-Motion in a Plane-80735.png
  • 2)
    Physics-Motion in a Plane-80736.png

  • Physics-Motion in a Plane-80737.png

  • Physics-Motion in a Plane-80738.png
From the top of a tower if two stones, whose masses are in the ratio 1:2 are thrown one straight up with an initial speed u and the second straight down with the same speed u. then neglecting air resistance
  • the heavier stone hits the ground with a higher speed
  • The lighter stone hits the ground with a higher speed
  • Both the stones will have the same speed when they hit the ground
  • The speed cannot be determined with the given data
From the top of tower, a stone is thrown up. It reaches the ground in t1s. A second stone thrown down with the same speed reaches the ground in t2s. A third stone released from rest reaches the ground in t3s. Then

  • Physics-Motion in a Plane-80740.png
  • 2)
    Physics-Motion in a Plane-80741.png

  • Physics-Motion in a Plane-80742.png

  • Physics-Motion in a Plane-80743.png
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement ?
Physics-Motion in a Plane-80745.png

  • Physics-Motion in a Plane-80746.png
  • 2)
    Physics-Motion in a Plane-80747.png

  • Physics-Motion in a Plane-80748.png

  • Physics-Motion in a Plane-80749.png
Three persons P, Q, and R of same mass travel with same speed u along an equilateral triangle of side ‘d’ such that each one faces the other always. After how much time will they meet each other
Physics-Motion in a Plane-80751.png
  • d / u seconds
  • 2d/3u seconds
  • 2d/(√3)u seconds
  • d/(√3)u seconds
Four persons K, L, M, and N are initially at the corners of a square of side of length d. If every person starts moving with the same speed υ such that K is always headed towards L, L towards M, M is headed directly towards N and N towards K, then the four persons will meet after
  • d/ν seconds
  • 2)
    Physics-Motion in a Plane-80753.png

  • Physics-Motion in a Plane-80754.png
  • 2dν seconds
A point initially at rest moves along x-axis. Its acceleration varies with time as a = (6t +in m/s2. If it starts from origin, the distance covered in 2 seconds is
  • 20m
  • 18m
  • 16m
  • 25m
A bird flies for 4 s with a velocity of |t – 2|ms–1 in a straight line, where t = time in seconds. It covers a distance of
  • 8m
  • 6m
  • 4m
  • 2m
A particle position as a function of time is described as x = 5 cos(2t +What is the average velocity of the particle from t = 0 to t = 3s ?
  • 0.356 ms-1
  • 2.21 m/s
  • 2.56 m/s
  • 3.31 m/s
A cyclist starts from place A and covers a distance of 2400 m to reach the place B. If the maximum possible acceleration of the cyclist is 2m/s2 and its maximum retardation is 4m/s2, what is the least time the cyclist can undertake the journey from A to B ?
  • 28.28 s
  • 56.30 s
  • 58.91 s
  • 60.00 s
A blind person after walking 10 steps in one direction each of length 80cm, turns randomly to the left or to right by 90º. After walking a total of 40 steps, the maximum displacement of the person from its starting point can be
  • zero
  • 8 √2 m
  • 16√2 m
  • 32 m
An express train moving at 30 m/s reduces its speed to 10 m/s in a distance of 240 m. If the braking force is increased by 20% in the beginning, find the distance that it travels before coming to rest.
  • 338 m
  • 270 m
  • 300 m
  • 225 m
From the top of a tower of height 50m, a ball is thrown vertically upwards with a certain velocity. It hits the ground 10s after it is thrown up. How much time does it take to cover a distance AB where A and B are two points 20 m and 40 m below the edge of the tower ? (g = 10 ms–2)
  • 2.0 s
  • 1.0 s
  • 0.5 s
  • 0.4 s
A point initially at rest moves along x axis. Its acceleration varies with time as a = (6t +in ms–2. If it starts from origin, the distance covered in 1 second is
  • 3.5 m
  • 3 m
  • 4 m
  • 4.5 m
The distance between two moving particles at any time is a. If ν be their relative velocity and ν1 and ν2 be the components of ν along and perpendicular to a the time when they are closest to each other is

  • Physics-Motion in a Plane-80764.png
  • 2)
    Physics-Motion in a Plane-80765.png

  • Physics-Motion in a Plane-80766.png

  • Physics-Motion in a Plane-80767.png
A constant power P is applied to a particle of mass m. The distance travelled by the particle when its velocity increases from ν1 to ν2 is (neglect friction)

  • Physics-Motion in a Plane-80769.png
  • 2)
    Physics-Motion in a Plane-80770.png

  • Physics-Motion in a Plane-80771.png

  • Physics-Motion in a Plane-80772.png
0:0:1


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