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#