Equations of constant acceleration - L5 - PHY

A cyclist is moving along a straight horizontal road and passes a point A. Five seconds later, at the instant when she is moving with speed 10 m/s, she passes the point B. She moves with constant acceleration from A to B.

Given that AB = 40m, find:

(a) the acceleration of the cyclist as she moves from A to B.

(b) the time it takes her to travel from A to the midpoint of AB.

• a = -0.8 m/s², b = 2.47 s

• a = 0.65 m/s², b = 2.81 s

• a = 0.8 m/s², b = 2.54 s

• a = 0.8 m/s², b = 2.81 s

A car travelling at 10 m/s accelerates at a rate of 4 m/s² until it has travelled 28 m. Calculate the speed after it has travelled 28 m.

• 25 m/s

• 18 m/s

• 13 m/s

• 37 m/s

A car starts from rest and accelerates at 4m/s² for 8 seconds. How far has it travelled during this time?

• 256m

• 100m

• 128m

• 64m

A train leaves a station and accelerates uniformly at a rate of 1.6 m/s² for 20 seconds. Find the speed of the train at the end of the 20 seconds.

• 32ms⁻¹

• 16ms⁻¹

• 38ms⁻¹

• 12ms⁻¹

A train leaves a station and accelerates uniformly at a rate of 1.5 m/s² for 20 seconds. Find the distance travelled.

• 37m

• 300m

• 210m

• 96m

During an interval of 40 seconds a train accelerates from 15 m/s to 30 m/s. How far has the train travelled during this 40 second interval?

• 1200m

• 450m

• 900m

• 600m

During an interval of 40 seconds a car reduces its speed from 3.6 m/s to 2 m/s. How far has the car travelled during this 40 second interval?

• 112m

• 86m

• 74m

• 120m