In a carnival booth, you win a stuffed giraffe if you toss a quarter into a smal
ID: 1276040 • Letter: I
Question
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 (the figure (Figure 1) ). 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 can ignore air resistance.
Part A:
What is the height of the shelf above the point where the quarter leaves your hand?
Part B:
What is the vertical component of the velocity of the quarter just before it lands in the dish?
Explanation / Answer
x=vcos(60)*t
vcos(60)= 6.4/2 = 3.2m/s
x= 2.1m
t=2.1/3.2=.65625s
vy = vsin(60) - g*t
= 6.4*?3/2 - 9.81*.65625 = 5.54-6.44 = -0.9 m/s ----- (1)
height= v*t*sin(60) - .5*g*t2
= 1.53m above the point where the quarter left the hand ---------(2)