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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

Projectile Motion In Exercises 25–38, use the model for projectile motion, assuming there is no air resistance.

Eliminate the parameter *t* from the position vector for the motion of a projectile to show that the rectangular equation is

To determine

**To prove:** The rectangular equation of projectile motion is *t* is eliminated from the position vector.

Explanation

**Proof:**

The position vector of projectile motion is

Now, consider above equation in parametric form, so

And,

Now, eliminate *t* from both *x* and *y*,

So, from equation (1),

Now, put the value of *t* in equation (2),

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