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16 votes
16 votes
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

User Bradjive
by
2.7k points

2 Answers

13 votes
13 votes

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

User Rethabile
by
2.8k points
11 votes
11 votes

Answer:

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

User Mahdi Jokar
by
2.6k points