WAEC Further Mathematics 2015 Theory question 105

Theory question 105

Dynamics

A car moving with an initial velocity, u, travels in a straight line with a constant acceleration of 3 ms−2 until it attains a velocity of 33 ms−1 after 6 seconds. Calculate the distance travelled by the car.

Show the model answer
Model answer

u = v − at = 33 − 18 = 15 ms⁻¹.
s = ½(u + v)t = ½(15 + 33)(6) = 144 m.

Explanation

Find u first, then the distance.