Question

A racing car, initially at rest, picks up a velocity of 180 kmh⁻¹ in 4.5 s. Calculate

1. acceleration
2. distance covered by the car.

Answer 1

Initial velocity of car = u = 0
Final velocity of car = v = 180 kmh⁻¹ = `180xx5/18` ms⁻¹
v = 50 ms⁻¹
Time = t = 4.5 s
v = u + at
50 = 0 + a (4.5)
4.5a = 50
a = `50/4.5` = 11.11 ms⁻²
(Distance) S = ut + `1/2` at²

S = `0(4.5)+1/2xx50/4.5xx(4.5)^2`
S = 0 + 25 × 4.5
S = 112.5 m