Question

It moves in a straight line starting from rest. It travels with a constant acceleration for 3 seconds reaching a velocity of 4 m/s. Then it slows down with a constant deceleration of 0.5 m/s squared for 4 seconds before stopping what is the total distance travelled by the toy car?

Answer 1

The total distance traveled by the toy car is 14 m

Explanation:

Given;

initial velocity of the car, u = 0

final velocity of the car, v = 4 m/s

time of motion, t₁ = 3 s

constant deceleration of the car, -a = 0.5 m/s²

time of motion, t₂ = 4 s

The total distance traveled by the car, is the area of triangle ABC (check the image uploaded).

`Total \ distance = Area = (1)/(2) |BC| * H\\\\Total \ distance = (1)/(2) * 4* 7\\\\Total \ distance = 14 \ m`