Question

A race starts and finishes a race that is 50,000m. (30miles). The time is 23 minutes. The final velocity is 67m/s. What is the average acceleration ?

Use acceleration formula

Answer 1

a = 0.0505 [m/s^2]

Step-by-step explanation:

In order to solve this formula we must use the following formula of kinematics.

`x=(v_(o) *t)+((1)/(2) )*a*t^(2)`

where:

x = distance = 50000 [m]

Vo = initial velocity = 0

a = acceleration [m/s^2]

t = time = 23 [min] = 1380 [s]

Note: the positive sign in the above equation shows that the car accelerates.

50000 = (0*1380) + (0.5*a*1380^2)

a = 0.0525 [m/s^2]

But we can calculate the acceleration using the following formula:

`v_(f) =v_(o) +a*t`

where:

Vf = final velocity = 67 [m/s]

67 = 0 + (a*1380)

a = 0.0485 [m/s^2]

We can see that by means of kinematics and with the given values we can find two values of accelerations, however, we can determine the average acceleration, by means of the mathematical average.

a = (0.0485 + 0.0525) / 2

a = 0.0505 [m/s^2]