A cannonball is shot (from ground level) with an initial horizontal velocity of
ID: 1408077 • Letter: A
Question
A cannonball is shot (from ground level) with an initial horizontal velocity of 37 m/s and an initial vertical velocity of 22 m/s.
1)
What is the initial speed of the cannonball?
I got for this one 43.05 m/s which was correct
What is the initial angle of the cannonball with respect to the ground?
30.7 degree . (correct)
3)
What is the maximum height the cannonball goes above the ground?
24.7 m ( correct)
How far from where it was shot will the cannonball land?
166.5 m
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5) What is the speed of the cannonball 3.4 seconds after it was shot?
6)
How high above the ground is the cannonball 3.4 seconds after it is shot?
i could not get questions 5&6 right?
Explanation / Answer
from the kinematic equation , the speed of the cannon in vertical direction is
vy= u+ at
=22- ( 9.8)(3.4)
=-11.32 m/s
horizontal veclocityof the canon is vx = 37 m/s
the speed of the cannon ball after 3.4 s
v = root vx^2 + vy^2 = ( 37 m/s)^2 +(- 11.32 m/s)^2 = 38.69 m/s
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(f)
the high above the ground is the cannonball 3.4 seconds after it is shot is
H=Vyt-(1/2)gt^2
=22 ( 3.4)-(1/2)*9.8 m/s^2*(3.4 s)^2
=18.156 m
H=18.1 m
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