Question

A car accelerates from 1.5 to 18 m/sec in 9.6 seconds. Calculate its acceleration. and the other one is During a race, you speed up from 2.2 m/sec to 4 m/sec in 3.2 seconds. (a) What is your change in speed? ____ m/sec (b) What is your acceleration? ___ m/sec2

Answer 1

(1) The acceleration is 1.72 m/s²

(2) (a) The change in speed is 1.8 m/s

(2) (b) The acceleration is 0.563 m/s²

Step-by-step explanation:

(1)

Given;

initial velocity, u = 1.5 m/s

final velocity, v = 18 m/s

time of motion, t = 9.6 s

The acceleration is given by;

a = (v - u) / t

a = (18 - 1.5) / 9.6

a = 1.72 m/s²

(2)

Given;

initial speed, u = 2.2 m/s

final speed, v = 4 m/s

time of motion, t = 3.2 s

(a) The change in speed is given by;

Δv = v - u

Δv = 4 m/s - 2.2 m/s

Δv = 1.8 m/s

(b) the acceleration is given by;

a = Δv / t

a = 1.8 / 3.2

a = 0.563 m/s²