Please help me with some practice problems for my upcoming test, Thanks! 8. A Projectile is fired with an initial speed of 200 meters/second at an angle of elevation of 60°. Find a) When will the projectile strike the target?b) How far away is the target located?c) What is the maximum height the projectile reaches?d) What is the speed at impact?

Answered: A Projectile is fired with an initial…

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A Projectile is fired with an initial speed of 200 meters/second at an angle of elevation of 60°

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 12PE: Find the components of vtot along a set of perpendicular axes rotated 30° counterclockwise relative...

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Question

Please help me with some practice problems for my upcoming test, Thanks!

8. A Projectile is fired with an initial speed of 200 meters/second at an angle of elevation of 60°. Find

a) When will the projectile strike the target?
b) How far away is the target located?
c) What is the maximum height the projectile reaches?
d) What is the speed at impact?

Expert Solution

Step 1

Given data

The initial speed is $u = 200 m / s$

The angle of elevation is $θ = 60^{o}$

(a)

The time taken by the projectile to hit the target is,

$\begin{array}{rcl} T & = & \frac{2 u \sin θ}{g} \\ = & \frac{2 (200 m / s) \sin 60^{o}}{9.81 m / s^{2}} \\ = & 35.31 s \end{array}$

Thus the time taken by the projectile to hit the target is 35.3 s

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