Question

The car's initial speed was 15 m / s and the distance the car travels before it comes to a complete stop after the driver applies the brakes is 63m. What is the magnitude of the car's acceleration?

Answer 1

Initial speed of the car (u) = 15 m/s

Final speed of the car (v) = 0 m/s (Car comes to a complete stop after driver applies the brake)

Distance travelled by the car before it comes to halt (s) = 63 m

By using equation of motion, we get:

`\bf \longrightarrow {v}^(2) = {u}^(2) + 2as \\ \\ \rm \longrightarrow {0}^(2) = {15}^(2) + 2 * a * 63 \\ \\ \rm \longrightarrow 0 = 225 + 126a \\ \\ \rm \longrightarrow 126a = - 225 \\ \\ \rm \longrightarrow a = - (225)/(126) \\ \\ \rm \longrightarrow a = - 1.78 \: m {s}^( - 2)`

`\therefore` Acceleration of the car (a) = -1.78 m/s²

Magnitude of the car's acceleration (|a|) = 1.78 m/s²