Question

A car, initially traveling at 5 meters per second north, accelerates to 25 meters per second north in 4.0 seconds. Determine the magnitude and direction of the car's acceleration.

Answer 1

Answer:

a = 5 [m/s²].

Explanation:

To solve this equation we must use the following equation of kinematics.

$v_{f} =v_{o} +a*t$

where:

Vf = final velocity = 25 [m/s]

Vo = initial velocity = 5 [m/s]

a = acceleration [m/s²]

t = time = 4 [s]

Note: The positive sign for the acceleration in the above equation means that the car is increasing its velocity.

25 = 5 +a*(4)

25 - 5 = 4*a

20 = 4*a

a = 5 [m/s²]