Heather and jerry are standing on a bridge 58m above a river. Heather throws a r

Question

Heather and jerry are standing on a bridge 58m above a river. Heather throws a rock straight down with a speed of 14 m/s. Jerry ,at exactly the same instant of time throws a rock straight up with the same speed . Ignore air resistance
A.) How much time elapses between the first splash and the second splash ? Please show all work Problem 2.71 Part A Heather and Jerry are standing on a bridge 58 m above a river. Heather throws a rock straight down with a speed of 14 m/s .Jerry, at exactly the same instant of time, throws a rock straight up with the same speed. Ignore air resistance Express your answer to two significant figures and include the appropriate unl At-0. Submit My Answers Give Up Incorrect; Try Again;3 s remaining Part B Which rock has the faster speed as it hits the water? Heather's rock Jerry's rock It's impossible to determine. Correct

Explanation / Answer

Given that

height h=58 m

speed of the rock v=14 m/s

velocity of the sound in air V=330 m/s

height of second rock reach h=14^2/2*9.8=10 m

now we find the time difference between to heard first splash and second splash

time for the first splash t1=(2*58/9.8)^1/2+58/330

=3.4+0.18=3.58 sec

time for the second splash t2={(2(H+h)/g}^1/2+(H+h)/V

={2*(58+10)/9.8}^1/2+(58+10)/330

=3.73+0.21

=3.94 sec

the time difference T=t2-t1=3.94-3.58=0.36 sec

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