How to Calculate Acceleration and Final Velocity of a Car?

What are the steps to calculate acceleration and final velocity of a car?

Given that a car accelerates uniformly from rest and after 12 seconds has covered 40m.

Answer:

The acceleration is approximately 0.56 m/s^2 and the final velocity is 6.72 m/s.

To calculate the acceleration and final velocity of the car, we can follow these steps:

Calculating Acceleration:

Since the car accelerates uniformly from rest, we can use the kinematic equation for the distance covered:

[tex]x_f-x_i=v_i\\,t+\\frac{1}{2} a\\,t^2\\\\40=0+\\frac{1}{2} a\\,(12)^2\\\\40=72 \\,a\\\\a=\\frac{40}{72} \\,\\frac{m}{s^2} \\\\a\\approx 0.56 \\,\\frac{m}{s^2}[/tex]

Calculating Final Velocity:

Now, the final velocity can be calculated using the formula:

[tex]v_f=v_i+a\\,t\\\\v_f=0+0.56\\,(12)\\\\v_f=6.72\\,\\frac{m}{s}[/tex]

Therefore, the car's acceleration is approximately 0.56 m/s^2 and its final velocity is 6.72 m/s.