If a car can go from 0 to 60 mi/hr in 8.0 seconds, what would be its final speed after 5.0 seconds if its starting speed were 50 mi/hr?
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Again, we start with the question:
What would the final speed of a car be after 5.0 seconds with a starting speed of 50 mi/hr?
What is needed to solve this equation:
Acceleration of the car.
Yes that is all that is necessary.
To find the acceleration, this is where the 0-60 mi/hr in 8.0 seconds comes into play. To find the acceleration:
Acceleration = Change in velocity/Time
Acceleration = (Final velocity - initial velocity)/Time
Acceleration = (60 mi/hr - 0 mi/hr)/8.0s
Acceleration = 7.5 mi/hr/s (the unit is miles PER hour PER second)
So, now that the acceleration is known let's calculate the final velocity that the question asked for.
Rearrange acceleration formula:
Final Velocity = (Acceleration * Time) + Initial Velocity
Final velocity = (Acceleration * time) + 50 mi/hr
Final velocity = (7.5 (mi/hr)/s * 5.0) + 50 mi/hr = 87.5 mi/hr