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(10%) Problem 2: A runner begins a race with an acceleration of 3.1 m/ If the ru

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Question

(10%) Problem 2: A runner begins a race with an acceleration of 3.1 m/ If the runner accelerates at that rate for a distance of 16 m, and then maintains the velocity he has at that point for the remainder of the 100- m dash, what will be his time for the entire race? Grade Summarv Deductions Potential 5% 95% cos) cotan asin acosO 7 8 9 456 Submissions Attempts remaining: 4 (5% per attempt) detailed view tan0 atan0 acotan) sinh 5% 0 cosh cotanh0 DegreesRadians END DELCLEAR Submit Hint I give up! Hints: 1 % deduction per hint. Hint s remaining: 3 Feedback: 1% deduction per feedback.

Explanation / Answer

a = 3.1 m/s^2


for strating 16m,

d= v0 t + a t^2 /2

16 = 0 + 3.1 t^2 /2

t1 = 3.213 sec


velocity after 16 m,

v = v0 + a t = 0 + (3.1 x 3.123) = 9.96 m/s

distance remaining , d = 100 - 16 = 84 m

t2 = 84 / 9.96 = 8.43 sec

total time = t1 + t2 = 11.65 sec ........Ans