During a fireworks display, a shell is shot into the air with an initial speed of70.0...
During a fireworks display, a shell is shot into the air with an initial speed of70.0 m/s at an angle of 75.0° above the horizontal, as illustrated in Figure 1. Thefuse is timed to ignite the shell just as it reaches its highest point above theground.(a) Calculate the height at which the shell explodes. (b) How much time passes between the launch of the shell and the explosion? (c) What is the horizontal displacement of the shell when it explodes?(d) What is the total displacement from the point of launch to the highest point?
Homework Answers
Given initial launch velocity, 
Initial vertical launch velocity, 
Initial horizontal launch velocity, 
(a) Calculate the height at which the shell explodes.
Consider the vertical motion of the shell
Use formula 
At max height vertical velocity becomes zero.
The shell is going upwards and g is acting downwards, so put negative sign.
ANSWER :
======================
(b) How much time passes between the launch of the shell and the explosion?
Use formula 
At max height vertical velocity becomes zero.
The shell is going upwards and g is acting downwards, so put negative sign.
ANSWER :
===================
(c) What is the horizontal displacement of the shell when it explodes?
Consider the horizontal motion of the shell
There is no acceleration in horizontal direction, so horizontal velocity remains constant
Horizontal velocity =Horizontal Distance/time
ANSWER: 
========================
(d) What is the total displacement from the point of launch to the highest point?
Displacement, 
ANSWER: 
=============================
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