A car accelerates uniformly from rest to a speed of 23.7 km/h in 6.5 s. What is the distance the car travels during this time?

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Answer 1 · 2017-03-03T04:46:11

21.125 m

23.7 km/h = $(23.7 * 5/18)$ m/s

Using equation, v = u + at

$23.7 * 5/18 = a * 6.5$ ( as car accelerates from rest, its
initial velocity will become 0
i.e., u = 0 )

by solving above equation, we get
$a = 1 m/s^2$ approx

now using equation, s = $ut + 1/2 at^2$

s = $1/2at^2$ as u = 0

s = $1/2 * 1 * 6.5 * 6.5$

$therefore s = 21.125 m$