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A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S₁and that covered in the first 20 seconds is S₂then

1) S2 = 2S1 2) S2 = 3S1 3) S2 = 4S1 4) S2 = S1 Answer: 3) S2 = 4S1 Solution:... View Article

A particle is constrained to move on a straight line path it returns to the starting point after 10 sec. The total distance covered by the particle during this time is 30 m. Which of the following statements about the motion of the particle is false

1) Displacement of the particle is zero 2) Average speed of the particle is 3 m/s 3) Displacement of the... View Article

A 150 m long train is moving with a uniform velocity of 45 km/hr. The time taken by the train to cross a bridge of length 850 m is

1) 56 sec 2) 68 sec 3) 80 sec 4) 92 sec Answer: 3) 80 sec Solution: Total distance to be... View Article

Which of the following is a one dimensional motion?

1) Landing of a aircraft 2) Earth revolving around the sun 3) Motion of wheels of moving train 4) Train... View Article

A train has a speed of 60 km/hr. for the first one hour and 40 km/hr. for the next half hour. Its average speedin km/hr. is

1) 50 2) 53.33 3) 48 4) 70 Answer: 2) 53.33 Solution: Distance travelled by train in the first 1 hour... View Article

A car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity of 60 kmph. The average velocity of the car in kmph is

1) 40 2) 45 3) 48 4) 50 Answer: 3) 48 Solution: Let the total distance be 2x Time taken in... View Article

One car moving on a straight road covers one third of the distance with 20 km/hr and the rest with 60 km/hr.The average speed is

1) 40 km/hr 2) 80 km/hr 3) 46 (⅔) km/hr 4) 36 km/hr Answer: 4) 36 km/hr Solution: Average speed =... View Article

An aeroplane files 400 m north and 300 m south and then files 1200 m upwards then net displacement is

1) 1200 m 2) 1300 m 3) 1400 m 4) 1500 m Answer: 2) 1300 m Solution: displacement in horizontal plane... View Article

A man goes 10 m towards North, then 20 m towards east then the displacement is

1) 22.5 m 2) 25 m 3) 25.5 m 4) 30 m Answer: 1) 22.5 m Solution: Displacement, \(\begin{array}{l}d= \sqrt{10^{2}+20^{2}}\end{array} \) = √500... View Article

A particle moving in a straight line covers half the distance with speed of 3 m/s

A particle moving in a straight line covers half the distance with speed of 3 m/s. The other half of... View Article

A man is 45 m behind the bus when the bus starts accelerating from rest with acceleration of 2.5 ms^-2. With what minimum velocity should the man start running to catch the bus?

1) 12 ms-1 2) 14 ms-1 3) 15 ms-1 4) 16 ms-1 Answer: 3) 15 ms-1 Solution v2 = u2 +... View Article

The area under acceleration-time graph gives

1) distance in travelled 2) change in acceleration 3) force acting 4) change in velocity Answer: 4) change in velocity Solution:... View Article

From a balloon rising vertically upwards 5 ms^-1 at stone is thrown up at 10 ms^-1 relative to the balloon. Its velocity w.r.t. ground after 2 s is (assume, g = 10 ms^-2)

1) zero 2) -5 ms-1 3) 10 ms-1 4) 20 ms-1 Answer: 2) -5 ms-1 Solution: From the equation of motion,... View Article

A bullet moving with a speed of 100 m/s can just penetrate two planks of equal thickness. Then, the number of such planks penetrated by the same bullet when the speed is doubled will be

1) 6 2) 10 3) 4 4) 8 Answer: 4) 8 Solution: Third law of motion, v2 = u2 + 2as... View Article

A metro train starts from rest and in 5 s achieves 108 kmh^-1. After that it moves with constant velocity and comes to rest after travelling 45 m with uniform retardation. If total distance travelled is 395 m, find total time of travelling.

1) 12.2 s 2) 15.3 s 3) 9 s 4) 17.2 s Answer: 4) 17.2 s Solution: Given v = 108... View Article

A particle located at x = 0 at time t = 0, starts moving along the positive x–direction with a velocity v that varies as v = α√x. The displacement of the particle varies with time as

1) t2 2) t 3) t1/2 4) t3 Answer: 1) t2 Solution: v = α√x (dx/dt) = α√x \(\begin{array}{l}\int_{x=0}^{x}\frac{dx}{\sqrt{x}} = \alpha \int_{t=0}^{t}dt\end{array}... View Article

An automobile travelling with a speed of 60 kmh^-1, can brake to stop within a distance of 20 m. If the car is going twice as fast, i.e. 120 kmh^-1, the stopping distance will be

1) 20 m 2) 40 m 3) 60 m 4) 80 m Answer: 4) 80 m Solution: From 3rd equaiton of... View Article

A particle moving with a uniform acceleration travels 24 m and 64 m in the first two consecutive interval of 4 s each. Its initial velocity will be

1) 5 ms-1 2) 3 ms-1 3) 4 ms-1 4) 1 ms-1 Answer: 4) 1 ms-1 Solution: Equation of motion, s=ut+1/2at2 ... View Article

A body is released from a great height, falls freely towards the earth. Another body is released from the same height exactly a second later. Then, the separation between two bodies, 2 s after the release of the second body is nearly

1) 15 m 2) 20 m 3) 25 m 4) 30 m Answer: 3) 25 m Solution: For the first body... View Article

From the top of tower a body A is projected vertically up, another body B is horizontally thrown and a third body C is thrown vertically down with same velocity. Then,

1) B strikes the ground with more velocity 2) C strikes the ground with less velocity 3) A, B and... View Article

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