A projectile is launchedfrom the ground with a speed v 0 directed at angle of q

Question

A projectile is launchedfrom the ground with a speed v0 directed at angle of q above

the+x-axis. The projectile lands on the ground sometime t after launch. You may need

to look up a few trigidentities to complete this problem.

a. How far does theprojectile travel?

b. Use calculus todetermine the launch angle that will result in the maximumdistance

traveled.

c. Describe what happensif the launch angle is greater than p/2 radians?

d. If I launch aprojectile with an angle q1 isthere an angle q2 that will result inthe

projectile landing in thesame place? Both are launched with the same speedv0. If you

Explanation / Answer

a) The horizontal range of the projectile is                R = ( vo coso) * t b) use relation to find launching angleo              R = vo2 sin2o /g c) The horizontal range is maximum for a launching angleof 45o d) 1 + 2 =90o d) 1 + 2 =90o

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