Problem 9: A runner is at the starting line and hears the starting gun. He starts running from rest with a constant acceleration a; = 0.51 m/s2. He crosses the finish line V V= 0 at d = 100 m and then begins slowing down. It takes him a time interval t, to cross the finish line. It takes him a time interval t, = 6.5 s to return to rest after crossing the finish line. Use the given coordinate system where x is positive to the right. Refer to the figure. t= 0 t=t t=t, Part (a) Enter an expression for the time, t, it takes for the runner to cross the finish line, in terms of d and a;. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 7, Q, 0, aj, d, g, h, i, j, k, 1, m, P Part (b) Enter an expression for the runner's speed, v, when he crosses the finish line, in terms of a; and t, only. Expression : Vr = Select from the variables below to write your expression. Note that all variables may not be required. B, n, Q, 0, aj, d, g, h, i,j, k, 1, m, P, t, Part (c) Calculate the runner's constant acceleration, in meters per second squared, after he crosses the finish line until he comes to rest. Numeric : A numeric value is expected and not an expression. ar

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter2: One Dimensional Motion
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Problem 38PQ: During a bungee jump, a student (i) initially moves downward with increasing speed and then (ii)...
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Problem 9: A runner is at the starting line and hears the starting gun. He starts
running from rest with a constant acceleration a; = 0.51 m/s. He crosses the finish line
V
V,
at d = 100 m and then begins slowing down. It takes him a time interval t. to cross the
V = 0
finish line. It takes him a time interval t = 6.5 s to return to rest after crossing the
finish line. Use the given coordinate system where x is positive to the right. Refer to
the figure.
t= 0
t=t
=t,
Part (a) Enter an
sion for the time, t, it takes for the runner to cross the finish line, in terms of d and a;.
Expression :
tr =
Select from the variables below to write your expression. Note that all variables may not be required.
a, B, A, Q, 0, a¡, d, g, h, i, j, k, 1, m, P
Part (b) Enter an expression for the runner's speed, v,, when he crosses the finish line, in terms of a; and t, only.
Expression :
r =
Select from the variables below to write your expression. Note that all variables may not be required.
B, T, Q, 0, a¡, d, g, h, i, j, k, 1, m, P, t,
Part (c) Calculate the runner's constant acceleration, in meters per second squared, after he crosses the finish line until he comes to rest.
Numeric : A numeric value is expected and not an expression.
ar =
Transcribed Image Text:Problem 9: A runner is at the starting line and hears the starting gun. He starts running from rest with a constant acceleration a; = 0.51 m/s. He crosses the finish line V V, at d = 100 m and then begins slowing down. It takes him a time interval t. to cross the V = 0 finish line. It takes him a time interval t = 6.5 s to return to rest after crossing the finish line. Use the given coordinate system where x is positive to the right. Refer to the figure. t= 0 t=t =t, Part (a) Enter an sion for the time, t, it takes for the runner to cross the finish line, in terms of d and a;. Expression : tr = Select from the variables below to write your expression. Note that all variables may not be required. a, B, A, Q, 0, a¡, d, g, h, i, j, k, 1, m, P Part (b) Enter an expression for the runner's speed, v,, when he crosses the finish line, in terms of a; and t, only. Expression : r = Select from the variables below to write your expression. Note that all variables may not be required. B, T, Q, 0, a¡, d, g, h, i, j, k, 1, m, P, t, Part (c) Calculate the runner's constant acceleration, in meters per second squared, after he crosses the finish line until he comes to rest. Numeric : A numeric value is expected and not an expression. ar =
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