Question

45. M/J 04/P1/Q7
A car is travelling with uniform acceleration along a straight road. The road has marker posts every 100m. When the car
passes one post, it has a speed of 10ms-and, when it passes the next one, its speed is 20ms-1.
What is the car's acceleration?
A 0.67ms-2
B 1.5ms-2
C 2.5ms-2
D 6.0ms?

Answer 1

Answer:

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Answer 2

The acceleration of the car is $1.5\ m/s^2$.

Explanation:

A car is travelling with uniform acceleration along a straight road. The road has marker posts every 100 m, d = 100 m

Initial speed of the car, u = 10 m/s

Final speed of the car, v = 20 m/s

Let a is the acceleration of the car. It is equal to the rate of change of velocity per unit time.

$v^2-u^2=2ad\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{(20)^2-(10)^2}{2\times 100}\\\\a=1.5\ m/s^2$

So, the acceleration of the car is $1.5\ m/s^2$.

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