Coin Carnival
September 1st, 2009
physics question about height?
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 horizontal, the coin lands in the dish. you can ignore air resistance. what is the height of the shelf above the point where the quarter leaves your hand?
x = vcosθ t
y = vsinθ t – g/2 t^2
Isolate t in first equation:
t = x/vcosθ
Substitute into second equation:
y = vsinθ (x/vcosθ) – g/2 (x/vcosθ)^2
y = xtanθ – g/2 (x/vcosθ)^2
x = 2.1
θ = 60
v = 6.4
y = -0.49 m
h = 0.49 m
Coin-Op Carnival (1 of 2)
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