an artlillery shell is fired with an initial velocity of 325 m/s at 55 degree above the horizontal.It explodes on a mountainside 42 sec after firing.What are the x and y coordinates of the shell where it explodes,relative to its firing point?
heres what I got
t=325(sin55)/9.8=33.2 sec.
the shell explodes 42-33.2 =8.8 sec
x=325(cos 55)42302 m
y max=v^2sin^2a/(9.8x2)=(0.99 x 325 x 325)/(2x 9.8)=5386.4
H=1/2 x 9.8 x (8.8)^2=379
therefore upon explosion on its way down the shell is 5386.4-379=5007 m
co-ordinates of the shell upon explosion y=5007 m
x=302 m
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