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In a classic Seinfeld episode, Jerry tosses a loaf of bread (a marble rye) strai

ID: 3017491 • Letter: I

Question

In a classic Seinfeld episode, Jerry tosses a loaf of bread (a marble rye) straight upward to his friend George who is leaning out of a third-story window. a. If the loaf of bread leaves Jerry's hand at a height of 1 m with an initial velocity of 18 m/sec, write an equation for the vertical position of the bread s (in meters) t seconds after release. b. How long will it take the bread to reach George if he catches the bread on the way up at a height of 16 m? Round to the nearest tenth of a second.

Explanation / Answer

Solution:

A)

Using equation of kinematics;

S = ut+1/2 at^2

=> S - 1 = 18 t +1/2 (-g)t^2

=> S = -4.9 t^2 +18 t + 1

B)

Putting the value of S as 16 m

we get,

16 = -4.9 t^2 +18 t +1

=> -4.9 t^2 +18 t -15 = 0

=> t = 1.2765 , 2.393

As she catches the bread on the way up.

t should be the smaller one. i.e,

t = 1.2765 s