Question

alex, who has a mass of 100 kg, is skateboarding at 6.0 m/s when he smacks into a brick wall and comes to a dead stop in 0.20 s. part a find his deceleration. express your answer with the appropriate units.

Explanation:

Step1: Identify initial and final velocities and time

Initial velocity $v_0 = 6.0\ m/s$, final velocity $v = 0\ m/s$, time $t=0.20\ s$.

Step2: Use acceleration formula

The formula for acceleration $a=\frac{v - v_0}{t}$. Substitute the values: $a=\frac{0 - 6.0}{0.20}$.

Step3: Calculate the acceleration

$a=\frac{- 6.0}{0.20}=-30\ m/s^{2}$. The negative sign indicates deceleration.

Answer:

Value: 30
Units: $m/s^{2}$