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Question

An artillery shell is fired with an initial velocity of 300 m/s at 55° above the horizontal. To clear an avalanche, it explodes on a mountainside 42.0s after firing. Whar are the x- and y-coordinates of the shell where it explodes, relative to its firing point?

Answer 1

The x component of initial velocity = Vix =300 cos 55

The y component of initial velocity = Viy = 300 sin 55

 

Find Y                                                  Find X

Vi = Viy                                                Vx = Vix (constant)

T = 42.0 s                                             T = 42.0 s

a = - 9.81 m/s^2

Y = ?

 

Use the equation of motion                      Use equation  X = Vx. T

Y = ViT + 1/2 a T^2