Question

A toddler begins at rest, then sprints away from their parents, accelerating at 3m/s^2. How fast are they going after 2.4 s?

a) 2.4m/s
b) 4.8m/s
c) 7.2m/s
d) 9.6m/s

Answer 1

Using the formula for velocity after acceleration, the toddler's final velocity after 2.4 seconds with an acceleration of 3 m/s² is found to be 7.2 m/s.

Step-by-step explanation:

The question asks to calculate the velocity of a toddler after accelerating from rest for a duration of 2.4 seconds with a constant acceleration of 3 m/s2. To find the velocity after acceleration, we use the formula v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

Since the toddler begins from rest, the initial velocity u is 0 m/s. Thus:

• v = 0 m/s + (3 m/s2 × 2.4 s)
• v = 0 m/s + 7.2 m/s
• v = 7.2 m/s

Therefore, the toddler's velocity after 2.4 seconds is 7.2 m/s, which corresponds to option (c).