Chapter 02, Problem 36 GO Your answer is partially correct. Try again. Two socce

Question

Chapter 02, Problem 36 GO Your answer is partially correct. Try again. Two soccer players start from rest, 33 m apart. They run directly toward each other, both players accelerating. The first player's acceleration has a magnitude of 0.59 m/s2. The second player's acceleration has a magnitude of 0.43 m/s2. (a) How much time passes before the players collide? (b) At the instant they collide, how far has the first player run? (a) Number UnitsT s (b) Numbe UnitsT m Click if you would like to Show Work for this question:

Explanation / Answer

a)
since they are moving toward each other,
net acceleration, a = 0.59 + 0.43 = 1.02 m/s^2
d = 33 m
vi = 0 m/s
use:
d =vi*t + 0.5*a*t^2
33 = 0 + 0.5*1.02*t^2
33 = 0.5*1.02*t^2
t = 8.0 s
Answer: 8.0 s

b)
for 1st player:
a = 0.59 m/s^2
t = 0.59 m
vi = 0 m/s
d = vi*t + 0.5*a*t^2
d = 0 + 0.5*0.59*(8.0)^2
d = 19 m
Answer: 19 m

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