A car moving along a straight road at 30m/s slows uniformly to a speed of 10m/s in a time of 5s. determine the
(a) acceleration of the car
(b) distance it moves during the third second

Respuesta :

Answer:

(a) -4 m/s^2

(b) 20 m

Explanation:

Given:

u = 30 m/s

v = 10 m/s

t = 5 s

(a)

v = u + at (1st equation of motion)

On rearranging the terms we get,

a = v - u/t = 10 - 30/5 = -4 m/s^2

(b)

s = ut + (1/2)at^2 (2nd equation of motion)

s = 30(t) + (1/2)(-4)t^2

Distance it moves during the third second = Distance it moves in 3 seconds - Distance it moves in 2 seconds

S3 = s3 - s2

S3 = 30(3) + (1/2)(-4)(3)^2  - (30(2) + (1/2)(-4)(2)^2)

On solving we get,

S3 = 20 m

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