Constant acceleration

A particle, initially at rest at the origin, accelerates at 4 ms^-2 for 7 seconds.

The distance travelled by the particle is

• 28m

• 196m

• 98m

• 56m

A particle has an initial velocity of 6 ms^-1, and accelerates at 2 ms^-2 for 5 seconds.

The velocity in 5 seconds is

• 16 m/s

• -4 m/s

• 17m/s

• 32 m/s

The initial velocity of a particle is 7 ms^-1. While accelerating at a constant rate, it travels 21 m in 3 seconds.

Its acceleration is

• 1 ms^-2

• 0 ms^-2

• -1 ms^-2

• 9.33 ms^-2

The initial velocity of a particle is 6 ms^-1 and it accelerates at a constant rate for 5 seconds, during which time it travels 10 metres.

Its final velocity is

• -2 ms^-1

• 2 ms^-1

• 4 ms^-1

• -4 ms^-1

A particle, initially -15 m from the origin and travelling at

2 ms^-1. It accelerates at a constant rate and ends up at

20 m from the origin and travelling with velocity 5ms^-1. Its acceleration is

• 0.3 ms^-2

• -0.3 ms^-2

• 0.414 ms^-2

• -0.414 ms^-2

A train is timed between successive posts A, B and C, each 2000 m apart.

It takes 100 seconds to travel from A to B and 150 seconds to travel from B to C.

The deceleration throughout the journey is uniform.

Find the velocity of the train at B and its deceleration.

The deceleration is

• 4/75 ms^-2

• 4/15 ms^-2

• 8/25 ms^-2

• 5/23 ms^-2

A train is timed between successive posts A, B and C, each 2000 m apart.

It takes 100 seconds to travel from A to B and 150 seconds to travel from B to C.

The deceleration throughout the journey is uniform.

Find the velocity of the train at B and its deceleration.

The velocity of the train at B is

• 52/3 ms^-1

• -20/3 ms^-1

• 16/3 ms^-1

• 8/25 ms^-1