Motion in a straight Line Quiz-2

A man of 50 kg mass is standing in a gravity-free space at a height of 10m above the floor. He throws a stone of mass 0.5 kg downwards with a speed of 2 m/s. When the stone reaches the floor,the distance of the man above the floor will be

A bullet, on entering a target, losses $\frac13^{rd}$ of its initial velocity, after penetrating through 20m. How far deep will it enter the target?

A stationery body of mass 3 kg explodes in to three equal pieces. One of the pieces flies off with a velocity of $3 \hat {i}$ $ms ^{-1}$ and a second one goes with velocity of $4 \hat {j}\,ms ^{-1}.$ If the time of explosion is $10 ^{-4}s,$ the magnitude of the average force experienced by the third piece is

Two particles P and Q get 6m closer each second, while travelling is opposite directions. They get 2.4 m closer every second while travelling in the same direction. The speeds of P and Q are:

Two bodies of masses in the ratio 5:4 are dropped from heights of 16m and 25m respectively. The ratio of the time taken by them to reach the ground and the ratio of their velocities at the time of hitting the ground are, respectively

A body moving along x–axis is at x = –5 m at t = 0. It covers 10 m is the third second and 28 m in the sixth second. The position of this body at t = 8 s is

The two ends of a train, moving with a constant acceleration, pass a pole with velocities u and v. The velocity with which the middle point of the train pass the pole is:

A balloon rises from rest on the ground with a constant acceleration of $\frac g8$. A stone is dropped, from the balloon when it has risen to a height of H. The time taken by the stone to reach the ground is

A juggler throws balls is to air and catch them. He throws one all whenever the previous ball is at its highest point. How high do the balls rise, if he throws n balls every second? (Acceleration due to gravity is g).

Figure gives the velocity-time graph of a moving particle. Total displacement of the particle during its non-uniform motion is