A projectile is shot from the ground at a velocity of #25 m/s# and at an angle of #(5pi)/12#. How long will it take for the projectile to land?

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Gió Share
Jan 10, 2017

Answer:

I got #5s# approx.

Explanation:

I tried to visualize the problem:
enter image source here
As you can see the projectile, along #y#, reaches the highest point, at height #h#, where its velocity will be zero. So we use equation #(2)# and write:
#0=25sin(5/12pi)-9.8*t#
#t=2.46~~2.5s#

This time will be repeated by the projectile to come down and impact on the ground, so, the total time of flight, #T#, of equation #(1)# will then be:
#T=2t=2*2.5=5s#

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