Question

A car starts from rest and accelerates for 7.2 s with an acceleration of 1.4 m/s2. How far does it travel? Answer in units of m.

Answer 1

xn = 36.28 [m]

Step-by-step explanation:

To solve this problem we must use the following equation of kinematics, which is ideal for a body that moves with constant acceleration.

`x=x_(0)+(v_(o) *t)+((1)/(2) )*a*t^(2)`

where:

x - xo = displacement of the car [m]

Vo = initial velocity = 0

t = time = 7.2 [s]

a = acceleration = 1.4 [m/s^2]

The initial velocity is zero, as the car begins its movement from rest.

xn = (x - xo), Now replacing

xn = (0*7.2) + 0.5*1.4*(7.2^2)

xn = 36.28 [m]