passpadi

2023

Physics

POST UTME

A car moving with a speed of 90kmh190 km h^{-1} ' was brought uniformly to rest by the application of the brakes in 10s. How far did the car travel after the brakes were applied?

A.

125m


B.

150m

C.

250m

D.

15km

Correct Answer:

150m

Explanation

90km

u=90km/hru = 90km/hr 

let's change to m/sm/s


=90×1033600= \frac {90 \times 10^3 }{3600} =25m/s= 25m/s

v=0v = 0 (brought to rest)


to find aa we use v=uatv = u - at

since v=0v = 0

0=uat0 = u - at

u=atu = at

and make aa the subject of the formula

a=uta = \frac {u}{t} =25/10= 25 /10 =2.5= 2.5


to get the distance we use

v2=u22asv^2 = u^2 - 2as

since v = 0

we have s=u22as = \frac {u^2}{2a}

s = 2522×2.5\frac {25^2}{2 \times 2.5} = 125m


90km

u=90km/hru = 90km/hr 

let's change to m/sm/s


=90×1033600= \frac {90 \times 10^3 }{3600} =25m/s= 25m/s

v=0v = 0 (brought to rest)


to find aa we use v=uatv = u - at

since v=0v = 0

0=uat0 = u - at

u=atu = at

and make aa the subject of the formula

a=uta = \frac {u}{t} =25/10= 25 /10 =2.5= 2.5


to get the distance we use

v2=u22asv^2 = u^2 - 2as

since v = 0

we have s=u22as = \frac {u^2}{2a}

s = 2522×2.5\frac {25^2}{2 \times 2.5} = 125m


passpadi
©2023 Passpadi. All rights reserved.