Question

What would the acceleration of a car be from a stoplight if it started at 0 m/s and reached a

speed of 100 m/s in 7.8 seconds?

Answer 1

The acceleration of a car would be:
`a=12.8` m/s²

Step-by-step explanation:

Given

Initial velocity =
`v_1=0` m/s

Final velocity =
`v_f=100` m/s

Time elapsed =
`t = 7.8` s

To determine

We need to determine the acceleration of a car.

We know that acceleration is basically the rate of change in velocity over time.

Thus,

We can determine the acceleration using the formula

`\:\:\:a=\:(v_f-v_i)/(t)`

where

• 
  `a` is the acceleration

• 
  `v_1` is the initial velocity

• 
  `v_f` is the final velocity

• 
  `t` is time elapsed

now substituting the values
`v_1=0`,
`v_f=100`, and
`t = 7.8` in the formula

`\:\:\:a=\:(v_f-v_i)/(t)`

`a=\:(100-0)/(7.8)`

`a=(100)/(7.8)`

`a=12.8` m/s²

Therefore, the acceleration of a car would be:
`a=12.8` m/s²