Question

A car is merging onto the expressway with an acceleration of 1.77 m/s^2. When it begins down the ramp the car is traveling at a speed of 11.1 m/s. How long will it take for the car to reach a speed of 24.4 m/s

Answer 1

Formula :

`(final \: speed - initial \: speed)/(time \: taken)`

Given :

• acceleration: 1.77 m/s²

• final speed: 24.4 m/s

• initial speed: 11.1 m/s

Solution :

`1.77 = (24.4 - 11.1)/(time \: taken)`

`time \: taken = (24.4 - 11.1)/(1.77)`

`taken \: time = 7.514 \: seconds`

Answer 2

time taken = 7.514 seconds

`\sf{acceleration} = (\Delta v)/(\Delta t) = (final \ speed - initial \ speed)/(time \ taken)`

Here given:

• acceleration: 1.77 m/s²

• final speed: 24.4 m/s

• initial speed: 11.1 m/s

using the given formula:

`\hookrightarrow \sf{1.77} = (24.4 - 11.1)/(time \ taken)`

`\hookrightarrow \sf{time \ taken} = (24.4 - 11.1)/(1.77)`

`\hookrightarrow \sf{time \ taken} = 7.514 \ seconds`