While traveling south on an expressway, a car traveling 60 mph (miles per hour) slows down to 30 mph in 12 minutes due to traffic conditions. Calculate the acceleration.
= -2.5-6.0-150-450 mi./hr2 NSWEn/a
What's The Answer
To calculate acceleration, we can use the basic formula:
Acceleration = (change in velocity) / (time taken)
In this case, we need to find the change in velocity and the time taken.
Given:
Initial velocity (v1) = 60 mph
Final velocity (v2) = 30 mph
Time taken (t) = 12 minutes
First, let's convert the time from minutes to hours since velocity is given in miles per hour.
12 minutes = 12/60 hours = 0.2 hours
Now we can calculate the change in velocity:
Change in velocity (v2 - v1) = 30 mph - 60 mph = -30 mph
Finally, we can calculate the acceleration:
Acceleration = (change in velocity) / (time taken)
Acceleration = (-30 mph) / (0.2 hours)
Simplifying the units:
Acceleration = (-30 mph) / (0.2 hours)
Acceleration = -150 mph/hr
Therefore, the acceleration of the car is -150 mph/hr. The negative sign indicates that the car is decelerating or slowing down.