Question

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Answer 1

QUESTION:

The brakes are applied to a car produce an acceleration car 6 m/s² in the opposite direction to the motion. If the car takes 2 seconds to stop after the application of the brakes

• (i) Calculate the initial speed of the car.
• (ii) Calculate the distance travelled during this time.

ANSWER:

• (i) The initial speed of the car = 12 m/s.

• (ii) The distance travelled during this time = 12 m.

GIVEN:

• The brakes are applied to a car produce an acceleration car 6 m/s² in the opposite direction.

• The car takes 2 seconds to stop.

TO FIND:

• (i) The initial speed of the car.

• (ii) The distance travelled during this time.

EXPLANATION:

$\boxed{\bold{\large{v = u + at}}}$

v = 0 [ As the car stops after 2 s ]

a = - 6 m/s² [ Brake is applied in the opposite direction ]

t = 2 s

0 = u + - 6(2)

- u = - 12

u = 12 m/s

$\boxed{\bold{\large{s = ut + \frac{1}{2} at^2}}}$

u = 12 m/s

t = 2 s

a = - 6 m/s²

s = 12(2) + 1/2 (- 6)2²

s = 24 -  (6 × 2)

s = 24 - 12

S = 12 m

HENCE THE INITIAL SPEED IS 12 m/s AND DISTANCE TRAVELLED IS 12 m.