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 50mi/hr? formula
To find the final speed of the car after 5.0 seconds, we can use the formula for uniform acceleration:
v = u + at
Where:
v = final velocity
u = initial velocity
a = acceleration
t = time
In this case, the car's initial velocity (u) is given as 50 mi/hr. The acceleration (a) can be calculated using the formula:
a = (v - u) / t
Where:
v = final velocity
u = initial velocity
t = time
We know that the car can go from 0 to 60 mi/hr in 8.0 seconds. Therefore, its acceleration is:
a = (60 mi/hr - 0 mi/hr) / 8.0 s
a = 7.5 mi/hr^2
Now, we can use the formula to find the final velocity (v) after 5.0 seconds:
v = u + at
v = 50 mi/hr + (7.5 mi/hr^2 * 5.0 s)
v = 50 mi/hr + 37.5 mi/hr
v = 87.5 mi/hr
Therefore, the final speed of the car after 5.0 seconds would be 87.5 mi/hr.