Problems: start with an equation from the last page or use standard trig and gco

Question

Problems: start with an equation from the last page or use standard trig and gcometry Show all work. If asked to explain write 1-2 complete sentences, 1. Two kids launch water balloons at the same time, a red balloon at 30.0 m/s, 28.0° above horizontal, and a yellow balloon at 20.0 m/s, 41.0 above horizontal. Assume both balloons are in free fall after launch. (a) Calculate the x and y components of each balloon's initial velocity, using standard axes. (b) Which balloon, if either, will rise higher? Explain without further calculation. (c) Choose one balloon: RED or YELLOW. How high above the ground will your chosen balloon be, after traveling 3.40 m horizontally? (d) Is this balloon likely to hit an unsuspecting man standing 3.40 m away from the launch point? Explain in words and numbers. If you didn't get an answer to (c), explain how you'd dectde, using words and mumbers.

Explanation / Answer

1. (A) for Red:

v0x = 30 cos28 = 26.5 m/s

v0y = 30 sin28 = 14.1 m/s

for Yellow:

v0x = 20 cos41 = 15.1 m/s

v0y = 20 sin41 = 13.1 m/s

(B) vertical component of initial velocity is greater for Red.

so it will rise higher.

Ans: Red

(C) for Red:

x = (v0x)t

3.40 = (26.5)t

t = 0.1284 sec

y = v0y t + ay t^2 /2 = (14.1)(0.1284) + (-9.8 x 0.1284^2 /2)

y = 1.73 m

For Yellow,

t = 0.225 s

y = 2.71 m

(D) man can not be as high as 2.71 m.

so Red ballon is likely to hit the man.

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