During a fireworks display, a shell is shot into the air with an initial speed of 70.0

Question:

During a fireworks display, a shell is shot into the air with an initial speed of 70.0 m/s at an angle of above the horizontal, as illustrated in Figure 3.36. The fuse is timed to ignite the shell just as it reaches its highest point above the ground. 

(a) Calculate the height at which the shell explodes.

(b) How much time passed between the launch of the shell and the explosion?

(c) What is the horizontal displacement of the shell when it explodes?

Strategy

Because air resistance is negligible for the unexploded shell, the analysis method outlined above can be used. The motion can be broken into horizontal and vertical motions in which ax = 0 and ay =-g. We can then define x0 and Y0 to be zero and solve for the desired quantities.

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