Ask Question
20 July, 21:35

A sprinter starts from rest and accelerates to her maximum speed of 10.5 m/s in a distance of 11.0 m. (a) What was her acceleration, if you assume it to be constant? 0 Incorrect: Your answer is incorrect. Units are required for this answer. seenKey 5.01 m/s^2 (b) If this maximum speed is maintained for another 96.3 m, how long does it take her to run 107.3 m?

+3
Answers (1)
  1. 20 July, 22:43
    0
    a) a=5.01m/s^2

    b) t=11.26s

    Explanation:

    A body that moves with constant acceleration means that it moves in "a uniformly accelerated movement", which means that if the velocity is plotted with respect to time we will find a line and its slope will be the value of the acceleration, it determines how much it changes the speed with respect to time.

    When performing a mathematical demonstration, it is found that the equations that define this movement are as follows.

    Vf=Vo+a. t (1)

    {Vf^{2}-Vo^2}/{2. a} = X (2)

    X=Xo + VoT+0.5at^{2} (3)

    X = (Vf+Vo) T/2 (4)

    Where

    Vf = final speed

    Vo = Initial speed

    T = time

    A = acceleration

    X = displacement

    In conclusion to solve any problem related to a body that moves with constant acceleration we use the 3 above equations and use algebra to solve

    to solve the question a, we can use the ecuation number 2

    Vo=0

    Vf=10.5 m/s

    x=11m

    {Vf^{2}-Vo^2}/{2. a} = X

    {Vf^{2}-Vo^2}/{2. x} = a

    {10.5^{2}-0^2}/{2x11} = a

    a=5.01m/s^2

    to find the time we can use the ecuation number 1

    Vf=Vo+a. t

    t = (Vf-Vo) / a

    t = (10.5-0) / 5.01=2.09s

    part b

    in this case the spees is constant, so the movement is defined by the following ecuation

    X=VT

    t=x/v

    t=96.3/10.5=9.17s

    to find the total time we sum the times when the speed is constant and when the acceleration is constan

    t=9.17+2.09

    t=11.26s
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A sprinter starts from rest and accelerates to her maximum speed of 10.5 m/s in a distance of 11.0 m. (a) What was her acceleration, if you ...” in 📘 Physics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers