1. Win the Prize. In a carnival booth, you win a stuffed giraffe if you toss a q

Question

1. Win the Prize. In a carnival booth, you win a stuffed giraffe if you toss a quarter into a small dish. The dish is on a shelf above the point where the quarter leaves your hand and is a horizontal distance of 2.1 m from this point. If you toss the coin with a velocity of 6.4.m/s at an angle of 60 degrees above the horizontal, the coin lands in the dish. You gan ignore the air resistance. (a) What is the height of the shelf above the point where the quarter leaves your hand? (b) What is the vertical component of the velocity of the quarter just before it lands in the dish? 64 m/s |60

Explanation / Answer

time taken to reach at the point is t = x/v0 cos(theta)

y max = voy*t-1/2gt^2

substitude t value into this equation we can get

y = xtan(theta)-1/2g(x/vocos(theta))^2

y = 2.1tan60-4.9(2.1/6.4cos60)^2

y = 3.64-2.11 = 1.53 m

b) vy = vosin60-g*t = v0sin60-9.8(x/v0cos60)

vy = 5.54-6.43 = -0.89 m/s

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