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 need to understand the concept of acceleration. Acceleration is defined as the change in velocity over time. We can use the formula:
final velocity = initial velocity + (acceleration × time)
Given that the car's starting speed, or initial velocity, is 50 mi/hr and it can go from 0 to 60 mi/hr in 8.0 seconds, we can find the acceleration.
To find the acceleration, we need to calculate the change in velocity (delta v). delta v is the difference between the final velocity (60 mi/hr) and the initial velocity (0 mi/hr).
delta v = final velocity - initial velocity
delta v = 60 mi/hr - 0 mi/hr
delta v = 60 mi/hr
The time taken for the car to reach its final velocity is given as 8.0 seconds, so the acceleration can be calculated using the formula:
acceleration = delta v / time
acceleration = 60 mi/hr / 8.0 seconds
acceleration ≈ 7.5 mi/hr/s
Now, we can use this acceleration value to find the final speed of the car after 5.0 seconds. We will use the same formula:
final velocity = initial velocity + (acceleration × time)
final velocity = 50 mi/hr + (7.5 mi/hr/s × 5.0 seconds)
final velocity = 50 mi/hr + (37.5 mi/hr)
final velocity = 87.5 mi/hr
Therefore, the car's final speed after 5.0 seconds, starting from an initial velocity of 50 mi/hr, would be approximately 87.5 mi/hr.