Question

An in-line skater constantly accelerates from rest to a velocity of 8 m/s in a total of 2 seconds. What is the acceleration of the skater with proper units?

a) 4 m/s²
b) 2 m/s²
c) 16 m/s²
d) 8 m/s²

Answer 1

The acceleration of the skater is 4 m/s², calculated by dividing the change in velocity (8 m/s) by the time taken (2 s).

Step-by-step explanation:

Acceleration of the In-Line Skater

The acceleration of an in-line skater who accelerates from rest to a velocity of 8 m/s in a total of 2 seconds can be calculated using the formula for acceleration (a), which is the change in velocity (Δv) divided by the time (t) it takes for the change to occur. The formula is a = Δv / t. Here, the change in velocity is 8 m/s since the skater starts from rest (0 m/s), and the time is 2 seconds.

Acceleration = 8 m/s / 2 s = 4 m/s².

The correct answer is option (a) 4 m/s².