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A uniformly accelerated body starts from rest. If its acceleration is 4 m s-2, the distance covered by in 3rd second will be

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Important Questions on Measurements and Motion

EASY
Two bodies of masses ma, mbma> mb are dropped from heights a, b respectively. The ratio of velocities with which they reach ground is:
MEDIUM
A stone is dropped into a well having free water surface at depth 44.1 m. The splash is heard 3.13 sec after the stone is dropped. Find the velocity of sound in air (Take g= 9.8 ms2)
EASY
The initial velocity of a particle is 10 m/s. It is moving with an acceleration of 4 m/s2. The distance covered by the particle after 2 s is
MEDIUM

The velocity – time graph of a moving body is shown in the figure. Which of the following statements is true?

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MEDIUM
Two steel balls of mass 1 kg and 2 kg and a lead ball of 10 kg are released together from the top of tower 30 m high. Assuming the path to be in vacuum:
EASY
A body is travelling with speed 20 m s-1 having acceleration 4 m s-2 the speed of the body after 2 s is
MEDIUM
A bus of mass 2800 kg is travelling at a speed of 90 kmh. A retarding force of 5600 N is applied on it for a distance of 100 m. Its velocity reduces to
HARD

Three particles A, B and C are thrown from top of a building with same speed. A is thrown upwards, B is thrown downwards and C is thrown horizontally, they hit the ground with speed VA, VB and VC respectively then

EASY

A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S1 and that covered in next 10 seconds is S2 then

MEDIUM
Which of the following is an equation for position - Time relation?
MEDIUM
A particle of mass 0.2 kg is kept at rest. A force of 2 N acts on it for 2 seconds. Find the distance moved by the particle in (i) these 2 seconds and (ii) next 2 seconds if the same force is continued to be applied.
MEDIUM
Water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. How far above the ground is the second drop at that instant? (Take g=10 m s-2)
MEDIUM
A car of mass 1000 kg starts from rest and comes down an inclined slope. If it travels a distance of 300 m in 30 seconds, calculate: (a) acceleration and  (b) force acting on car.
HARD
An object starting from rest travels 20 m in first 2 s and 160 m in next 4 s. What will be the velocity after 7 s from the start?
EASY

A body is projected vertically upward direction with a speed u. Find the (a) time taken (b) distance travelled by the body in reaching its topmost point.

HARD
A stone is released from the top of a tower of height 19.6 m. Calculate its final velocity just before touching the ground.(Take g=9.8 m/s2)
HARD

Derive second equation of motion by graphical method.

MEDIUM

Derive third equation of motion by graphical method.

MEDIUM
A train starting from rest attains a velocity of 102 km h-1 in 7 minutes. Assuming that the acceleration is uniform, the distance travelled by train for attaining this velocity will be?
MEDIUM
A bus is moving at a speed of 18 km/h. It is retarding at a rate of 2 m/s2 and comes to rest finally. Find the distance travelled by it.