158k views
3 votes
You are driving at 29 m/s and you slow down to a full stop as you approach a red light. If it takes you 7.0 seconds to come to a complete stop, what was your acceleration?

a) 2.07 m/s²
b) 4.14 m/s²
c) 5.71 m/s²
d) 7.00 m/s²

User Jeffmaher
by
7.9k points

1 Answer

7 votes

Final answer:

The acceleration of the car slowing down from 29 m/s to a full stop over 7.0 seconds is 4.14 m/s². This is a deceleration because it is in the opposite direction of the car's motion.

Step-by-step explanation:

When you are driving at 29 m/s and you slow down to a full stop as you approach a red light, taking 7.0 seconds to come to a complete stop, you can calculate your acceleration using the formula:

a = Δv / Δt

where Δv is the change in velocity and Δt is the time taken. Since you're coming to a stop, your change in velocity is the initial velocity, which is 29 m/s. The time taken is 7.0 seconds. Plugging in the values:

a = -29 m/s / 7.0 s = -4.14 m/s²

The negative sign indicates that the acceleration is in the direction opposite to the motion, which is expected since you're coming to a stop.

Therefore, the correct answer is: b) 4.14 m/s².

User Terrill
by
8.2k points