Question: A car accelerates uniformly from rest to a velocity of 20 m/s in 10 seconds. What is the average acceleration of the car during this time period?

Answer: To solve for the average acceleration, we can use the formula: [ a = \frac {v_f - v_i}{t} ]

Where:

• $v_f = 20 \, m/s$ (final velocity)
• $v_i = 0 \, m/s$ (initial velocity)
• $t = 10 \, s$ (time)

Substitute the given values into the formula: [ a = \frac {20 , m/s - 0 , m/s}{10 , s} ] [ a = \frac {20 , m/s}{10 , s} ] [ a = 2 , m/s^2 ]

So, the average acceleration of the car during this time period is $2 \, m/s^2$.