A man is driving his car ata velocity of 100km/h on a straight road. H e sees a traffic jam at a distance and slows down to 12.5m/s in 3.0s. What is the average acceleration of the car? pls help.
I know that the formula for average acceleration is V2-V1 divided by T2-T1 but the question only gives one time. so am confused.
pls help.
The time is takes to slow down is T2 - T1. That is given as 3.0s.
To find the average acceleration, you need to calculate the change in velocity and the time it took for that change. In this case, the initial velocity is 100 km/h (which can be converted to m/s), the final velocity is 12.5 m/s, and the time is given as 3.0 seconds.
First, convert the initial velocity to m/s:
Initial velocity = 100 km/h = (100 * 1000) m/ (60 * 60) s = 27.78 m/s
Next, you can use the formula for average acceleration:
Average acceleration = (final velocity - initial velocity) / time
Average acceleration = (12.5 m/s - 27.78 m/s) / 3.0 s
Simplifying the equation gives:
Average acceleration = (-15.28 m/s) / 3.0 s
Therefore, the average acceleration of the car is approximately -5.09 m/s².
Note: The negative sign indicates that the car is decelerating or slowing down.