Ask Question
17 April, 01:44

2. A car accelerates uniformly from + 10.0 m/s to + 50.0 m/s over a distance of 225 m. How long did it take to go that distance? Show all your work, including the equation used, given and unknown quantities, and any algebra required. Make sure your answer has the correct number of significant figures.

+2
Answers (1)
  1. 17 April, 01:51
    0
    Let's call the constant acceleration a.

    At a time t, its speed will thus be v (t) = a*t+v0 where v0 is its initial speed, here 10 m/s. Hence v (t) = a*t+10.

    From there we can deduce the position P (t) = a*t^2/2+10t+p0 where p0 is the initial position, here 0.

    Hence P (t) = a*t^2/2+10t

    Let's call T the time at which it's at 50 m/s, we know that P (T) = 225m and that v (T) = 50 m/s hence a*T+10=50 thus a=40/T and P (T) = (40/2+10) T=30T

    Hence T=225/30=7.5

    It took 7.5 seconds
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “2. A car accelerates uniformly from + 10.0 m/s to + 50.0 m/s over a distance of 225 m. How long did it take to go that distance? Show all ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers