Question

A car was driving at a speed of 10 m/s. In 3 seconds, it accelerated to a speed of 50 m/s. Calculate the car's acceleration.

Answer 1

Answer:

$\boxed {\boxed {\sf 13.3 \ m/s^2}}$

Explanation:

Acceleration is the rate of change of velocity with respect to time. It is the change in velocity over the change in time, and it is calculated using the following formula.

$a= \frac{ v_f-v_i}{t}$

The car starts at a speed of 10 meters per second, then it accelerates to a speed of 50 meters per second. It achieves this acceleration in 3 seconds.

• $v_f$= 50 m/s
• $v_i$= 10 m/s
• t= 3 s

Substitute the values into the formula.

$a= \frac{50 \ m/s - 10 \ m/s}{3 \ s}$

Solve the numerator.

• 50 m/s -10 m/s= 40 m/s

$a= \frac{40 \ m/s}{3 \ s}$

Divide.

$a= 13.3333333 \ m/s/s$

$a \approx 13.3 \ m/s^2$

The car's acceleration is approximately 13.3 meters per second squared.