Motion in a Straight Line

The displacement and the increase in the velocity of a moving particle in the time interval of t to (t+1) s are 125 m and 50 m/s, respectively. The distance travelled by the particle in (t+2)th s is m.

A body starts moving from rest with constant acceleration covers displacement S1 in first (p-1) seconds and S2 in first p seconds. The displacement S1+S2 will be made in time :

1. (2p+1) s
2. (2p-1) s
3. (2p2-2p+1 )s
4. (2p2-2p+1 ) s

A particle is moving in a straight line. The variation of position 'x' as a function of time 't' is given as x= (t3-6t2+20t+15 )m. The velocity of the body when its acceleration becomes zero is :

1. 6 m/s
2. 10 m/s
3. 8 m/s
4. 4 m/s

A bullet is fired into a fixed target loses one third of its velocity after travelling 4 cm. It penetrates further D 10-3 m before coming to rest. The value of D is :

1. 2
2. 5
3. 3
4. 4

A body falling under gravity covers two points A and B separated by 80 m in 2 s. The distance of upper point A from the starting point is m (use g=10 ms-2).