Question

A european sports car dealer claims that his car

willaccelerates ar a constant rate from rest to 100 km/hr in8.00 s.
If so, what is the acceleration?

Answer 1

acceleration is 3.47 m/s²

Step-by-step explanation:

given data

speed = 100 km/hr = 27.78 m/s

time = 8 s

to find out

acceleration?

solution

we will apply here first equation of motion

v = u +at ..............1

here v is final speed and u is initial speed that is 0 and t is time that is 8 sec

so put all value in equation 1

v = u +at

27.78 = 0 +a(8)

a =
`(27.78)/(8)`

a = 3.47 m/s²

so acceleration is 3.47 m/s²

Answer 2

Acceleration of the car,
`a=3.47\ m/s^2`

Step-by-step explanation:

Given that,

Initial speed of the car, u = 0 (at rest)

Final speed of the car, v = 100 km/h = 27.77 m/s

Time, t = 8 s

We need to find the acceleration of the car. Mathematically, it is given by :

`a=(v-u)/(t)`

`a=(27.77\ m/s)/(8\ s)`

`a=3.47\ m/s^2`

So, the acceleration of the car is
`3.47\ m/s^2`. Hence, this is the required solution.