A car is traveling at 25 meters per second when the driver sees a cat crossing the road 100 meters away. If the car comes to a complete stop in 5 seconds what is the car's acceleration (deceleration)
Question
A car is traveling at 25 meters per second when the driver sees a cat crossing the road 100 meters away. If the car comes to a complete stop in 5 seconds what is the car's acceleration (deceleration)
Solution
To calculate the car's acceleration (or in this case, deceleration), we can use the formula for acceleration, which is:
a = Δv / Δt
where: a is acceleration, Δv is the change in velocity, and Δt is the change in time.
In this case, the car is decelerating from 25 m/s to 0 m/s over a period of 5 seconds. So, the change in velocity (Δv) is 0 m/s - 25 m/s = -25 m/s (the negative sign indicates deceleration).
The change in time (Δt) is 5 seconds.
Substituting these values into the formula gives:
a = -25 m/s / 5 s = -5 m/s²
So, the car's acceleration (deceleration) is -5 meters per second squared.
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