A car is moving at 30.0 km/h when it accelerates at 2.0 m/s for 3.6 s. What is the car's final speed?

1 answer

First, convert the initial speed from km/h to m/s:

30.0 km/h = 8.33 m/s

Now, use the equation of motion:

vf = vi + at

Where:
vf = final speed
vi = initial speed = 8.33 m/s
a = acceleration = 2.0 m/s^2
t = time = 3.6 s

Plugging in the values:

vf = 8.33 + 2.0 * 3.6
vf = 8.33 + 7.2
vf = 15.53 m/s

Therefore, the car's final speed is 15.53 m/s.