If a car can go from 0 to 60 mph and 8.0 seconds what would be its final speed after 5.0 seconds if it’s starting speed was 50 mph
To calculate the final speed after 5.0 seconds, we need to find the acceleration of the car during those 5.0 seconds and add it to the starting speed.
Given:
Starting speed = 50 mph
Time = 5.0 seconds
First, we need to find the acceleration of the car. The formula to calculate acceleration is:
Acceleration = Change in velocity / Time
To find the change in velocity, we subtract the starting speed from the final speed:
Change in velocity = final speed - starting speed
From 0 to 60 mph, it takes 8.0 seconds. So, the acceleration is:
Acceleration = (60 mph - 0 mph) / 8.0 seconds
Acceleration = 60 mph / 8.0 seconds
Acceleration = 7.5 mph/s
Now, let's calculate the change in velocity during the 5.0 seconds:
Change in velocity = acceleration * time
Change in velocity = 7.5 mph/s * 5.0 seconds
Change in velocity = 37.5 mph
Finally, we add the change in velocity to the starting speed to find the final speed after 5.0 seconds:
Final speed = starting speed + change in velocity
Final speed = 50 mph + 37.5 mph
Final speed = 87.5 mph
Therefore, the final speed of the car after 5.0 seconds, with a starting speed of 50 mph, would be 87.5 mph.