Question

4. You are walking at a leisurely pace of .75 m/s when you hear the train coming and start running to catch it. Over the next 10 seconds, you speed up to 3.5 m/s and catch your train! What was your acceleration over that time?

Answer 1

0.275 m/s²

Step-by-step explanation:

The acceleration of an object is defined as the change in velocity over the change in time.

• a = Δv/Δt
• a = (v - v₀)/t

We are given the initial velocity, 0.75 m/s. The final velocity of the user in question is 3.5 m/s.

The time it takes for us to catch the train is 10 seconds. Using these variables, let's substitute into our equation.

• a = (3.5 - 0.75)/10
• a = 2.75/10
• a = 0.275 m/s²

Our acceleration over that time was 0.275 m/s² in order to catch the train.