a car starts from rest and accelerates at a constant rate of 4.5 m/s^2. What is the final velocity after traveling 1.6 km?

First write down all the known values:

vi = 0m/s

a = 4.5m/s^2

d = 1.6km = 1600m Remember to convert to meters since the acceleration is in meters

vf = ?

Now use the kinematic equation that relates all these variables:

vf^2 = vi^2 + 2ad

vf^2 = (0) ^2 + 2 (4.5) (1600)

vf^2 = 14400

vf = 120m/s

The final velocity of the car is 120m/s.