Question

In: Physics

To start an avalanche on a mountain slope, an artillery shell is fired with an initial...

To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 320 m/s at 58.0° above the horizontal. It explodes on the mountainside 37.0 s after firing. What are the x and y coordinates of the shell where it explodes, relative to its firing point?

x=??m

y=??m

Expert Solution

Initial velocity of the artillery shell is at horizontal angle . Therefore, horizontal component of the initial velocity is and vertical component of the initial velocity is .

Acceleration of the artillery shell in the horizontal direction is zero and acceleration of the artillery shell in the vertical direction is . where is the gravitational acceleration.

We are given time an artillery shell to reach at mountain is .

All the data in tabular form as below:

Finding the x-component of the displacement from the kinematics formula:

Finding the y-component of the displacement from the kinematics formula:

Therefore, the x and y coordinates of the shell where it explodes is .

genius_generous answered 2 years ago

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