Show your work. Circle your answer.
3) An artillery shell is fired with an initial velocity of 318 m/s
at 64° above the horizontal. It explodes on a mountainside 43 s
after firing. What are the x and y coordinates of the shell where
it explodes, relative to its firing point?
SOLUTION :
Shell is fired at an angle of 64º and speed of 318 m/s.
upward. It travels for 43 seconds and explodes.
So,
horizontal speed of shell , Vh = 318 cos (64) = 139.4020 m/s
vertical speed of shell , Vv = 318 sin (64) = 285.8165 m/s
Coordinates of explosion point relative to firing point(0, 0) :
X - coordinate of shell at explosion point
= Horizontal distance moved by shell
= Horizontal speed * time
= 139.4020 * 43
= 5994.29 meters (ANSWER)
Y-coordinate of shell at explosion point
= vertical distance travelled by shell
= u t - 1/2 g t^2 ; (u = Vv)
= (285.8165)(43) - 1/2 * 9.8 * (43)^2
= 3230.00 meters. (ANSWER).
Show your work. Circle your answer. 3) An artillery shell is fired with an initial velocity...
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