Motion Test - 8...

Velocity of a body is defined as

A man drives 15 km to north and then 20 km to the east. His displacement from the starting point is

A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to

Two trains take 3 seconds to pass one another when going in opposite directions, but only 2.5 seconds if speed of one is increased by 50%. The time that one train would take to pass the other when going in the same direction at the original speed is

Two bodies move in a straight line towards each other at initial velocities v₁ and v₂ and with constant acceleration a₁ and a₂ directed against the corresponding velocities at the initial instant. The maximum initial separation l_max between the bodies for which they will meet during the motion is

A projectile weighing 50 kg is fired from a gun weighing 200 kg with a velocity of 72 km/hour. What is the velocity of recoil?

A distance travelled by a freely falling body is proportional to

Water drops fall at regular intervals from a roof. At an instant, when a drop is about to leave the roof, the distances of separation between 3 successive pairs of drops (including this drop) are in the ratio

A particle, tossed up vertically, reaches its highest point in time t₁ and returns to the ground in a further time t₂. The air resistance exerts a constant force on the particle opposite to its direction of motion. Which of the following relations holds true?

With what speed a body should be thrown upwards so that the distances traversed in the 5^th second and 6^th second are equal?

How long will it take to stop a car travelling at a speed of 20 m/sec if the uniform acceleration during applying brakes is - 5 m/s²?

A body starting from rest, undergoes a uniform acceleration and covers a distance of 10 m in the fifth second. The acceleration of the body is

A grasshopper finds that he can jump a maximum horizontal distance of 0.8 m. If he spends a negligible time on the ground, with what speed can he travel along the road?

Boat A and boat B are moving at 40 km h^-1 and 20 km h^-1 respectively. Which of the following options is not a possible value for their relative velocity?

A body is thrown up in a lift, with a velocity u relative to the lift and the time of flight is found to be t. The acceleration with which the lift is moving up is

A body is released from a great height and falls freely towards the earth. Exactly one second later, another body is released. What is the distance between the two bodies 2 seconds after the release of the second body?

A body is dropped from a plane moving with constant horizontal velocity. The path of the body as seen by a person on the plane will be

The figure shows the velocity (v) of a particle plotted against time (t).



Which of the following statements is correct?

A tennis ball is dropped so that it falls vertically to the floor and bounces back again. Taking velocity upwards as positive, which of the following graphs best represents the variation of its velocity v with time t?

A couple is said to be acting when