Question

A particular race car can cover a quarter-mile track (402 m) in 6.40 s starting from a standstill.

Find its acceleration.


If the combined mass of the driver and race car is 485 kg, what horizontal force must the road exert on the tires?

Answer 1

Answer:7.1*10^3

Step-by-step explanation:

Answer 2

9520N

Step-by-step explanation:

For the first part of this problem:

Given parameters:

Distance traveled = 402m

Time taken = 6.4s

Initial velocity = 0m/s

Unknown:

Find the acceleration = ?

Solution:

To solve this problem, we use on of the kinematics equation:

S = ut +
`(1)/(2)`at²

S is the distance moved

u is the initial velocity

t is the time taken

a is the acceleration

402 = (0 x 6.4) + (
`(1)/(2)` x a x 6.4²)

402 = 20.48a

a = 19.63m/s²

Second problem:

Given parameters:

Mass of the driver and race car combined = 485kg

So;

Horizontal force = mass x acceleration

Horizontal force = 485 x 19.63 = 9520N