if a car can go from 0 to 60 mi/hr in 8 seconds, what would be its final speed after 5.0 seconds if its starting speed were 50mi/hr
V1=60mi/h * 1600m/ml * 1h/3600s=26.7m/s
Vo = (50/60) * 26.7m/s = 22.22 m/s.
a = (V1-0)/t = (26.7-0)/8 = 3.33 m/s^2
V = Vo + a*t = 22.22 + 3.33*5=38.87 m/s
= Final speed.
To determine the final speed of the car after 5.0 seconds, we need to calculate the acceleration of the car first.
Acceleration can be calculated using the formula:
acceleration = (change in velocity) / (time taken)
The given information tells us that the car can go from 0 to 60 mi/hr in 8 seconds. Using this, we can find the acceleration:
acceleration = (final velocity - initial velocity) / (time taken)
acceleration = (60 mi/hr - 0 mi/hr) / 8 seconds
acceleration = 7.5 mi/hr/second
Now that we have the acceleration, we can calculate the final speed of the car after 5.0 seconds.
To do this, we can use the formula of motion:
final velocity = initial velocity + (acceleration * time taken)
We know the initial velocity is 50 mi/hr, the time taken is 5.0 seconds, and the acceleration we calculated is 7.5 mi/hr/second.
Plugging in these values, we can find the final velocity:
final velocity = 50 mi/hr + (7.5 mi/hr/second * 5.0 seconds)
final velocity = 50 mi/hr + 37.5 mi/hr
final velocity = 87.5 mi/hr
Therefore, the final speed of the car after 5.0 seconds, starting from a speed of 50 mi/hr, would be 87.5 mi/hr.