A car increases its velocity from 12 miles per hour to 50 miles per hour in .3 hours. what was the car's acceleration.
If you want it in miles/hr^2, divide 48 miles/hr by 0.3 hours. If you want it in ft/s^2, m/s^2 or g's, you will have to do some conversions
change in velocity = (50-12) = 38 miles/hr
change in time = .3 hours
acceleration = (38 miles / hour) / .3 hours
which is:
127 miles/hour^2
Now no one uses miles per hour squared. Hardly anyone uses feet per second squared any more either but since we are evidently not using metric units here, we can just go to feet/s^2
We need to know there are 5280 feet in a mile and that there are 3600 seconds in an hour.
So
127 miles/hr^2 * 5280 ft/mile * 1 hr^2/3600^2 s^2
= 0.0517 ft/s^2
To find the car's acceleration, we need to use the formula for acceleration:
Acceleration = (Final Velocity - Initial Velocity) / Time
Given:
Initial Velocity (u) = 12 miles per hour
Final Velocity (v) = 50 miles per hour
Time (t) = 0.3 hours
Now, substituting the values into the formula:
Acceleration = (50 mph - 12 mph) / 0.3 hours
To solve this, we first need to calculate the difference between the final and initial velocities:
50 mph - 12 mph = 38 mph
Next, we divide the velocity difference by the time taken:
Acceleration = 38 mph / 0.3 hours
Now, divide 38 by 0.3:
Acceleration = 126.67 miles per hour squared (mph^2)
Therefore, the car's acceleration is 126.67 mph^2.