2. A projectile is shot from the edge of a building 80 m above ground (eoel with
ID: 2029529 • Letter: 2
Question
2. A projectile is shot from the edge of a building 80 m above ground (eoel with an initial speed of 14m/s at an angle of 23 degrees with the horizontal. a) What was the initial x and y components of the velocity of the projectile? b) Find the time at which the projectile reaches the highest point. c) How high does it go above the ground level? d) Find the time taken by the projectile to hit P at ground level. e) Determine the range X of the projectile as measured from the base of the building. 5 pts.Explanation / Answer
a)
Initial X and Y components of velocities
Vox=14Cos23=12.887 m/s
Voy=14SIn23=5.47 m/s
b)
From
Vfy=Voy-gt
at maximum height Vfy=0
=>0=5.47-9.81*t
t=0.5576 s
c)
H=Voy2/2g =5.472/2*9.81
H=1.525 m
Maximum height
Hmax=80+1.525 =81.525 m
d)
From
Y=Yo+VoyT-(1/2)gT2
=>0=80+5.47T-(1/2)*9.81*T2
4.905T2-5.47T-80=0
T=4.63 s
e)
Horizontal range
X=12.887*4.63 =59.72 m
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