Question

a car moving along a straight line at a speed of 54km/h stops in 5 seconds after the brakes are applied.
a) find the acceleration.
b) plot the graph for the motion of the car.
c) Using the graph,find the distance covered by the car after the brakes are applied.

please answer​

Answer 1

Initial velocity, u = 54 km/h or 15 m/s

Final velocity, v = 0 m/s ( as the car comes to stop )

Time taken, t = 5s

a)

We know,

==> v = u + at

==> 0 = 15 + 5a

==> -15 = 5a

==> a = -15/5

==> a = - 3 m/s²

b)

Refer to the attachment.

c)

Distance travelled = area

==> area = base × height /2

==> area = 5 × 15 / 2

==> area = 75 / 2

Distance travelled = 37.5 m