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Solved: BIO A typical male sprinter can maintain his
Chapter 2, Problem 55P(choose chapter or problem)
Problem 55P
BIO A typical male sprinter can maintain his maximum acceleration for 2.0 s, and his maximum speed is 10 m/s. After he reaches this maximum speed, his acceleration becomes zero, and then he runs at constant speed. Assume that his acceleration is constant during the first 2.0 s of the race, that he starts from rest, and that he runs in a straight line. (a) How far has the sprinter run when he reaches his maximum speed? (b) What is the magnitude of his average velocity for a race of these lengths: (i) 50.0 m; (ii) 100.0 m; (iii) 200.0 m?
Questions & Answers
QUESTION:
Problem 55P
BIO A typical male sprinter can maintain his maximum acceleration for 2.0 s, and his maximum speed is 10 m/s. After he reaches this maximum speed, his acceleration becomes zero, and then he runs at constant speed. Assume that his acceleration is constant during the first 2.0 s of the race, that he starts from rest, and that he runs in a straight line. (a) How far has the sprinter run when he reaches his maximum speed? (b) What is the magnitude of his average velocity for a race of these lengths: (i) 50.0 m; (ii) 100.0 m; (iii) 200.0 m?
ANSWER:
Solution 55P
Step 1:
We have to find the acceleration of the sprinter at maximum speed.
Maximum speed of the sprinter, v = 10 m/s
Initial speed of the sprinter, u = 0 m/s
Time required to reach his maximum speed, t = 2.0 s
Therefore,the acceleration of the sprinter, a = (v-u)/t
a = ( 10 m/s - 0 m/s) / 2 s = 5 m/s2