Question

A projectile is shot from the ground at a velocity of `24 m/s` at an angle of `(5pi)/12`. How long will it take for the projectile to land?

Answer 1

`t=4,727 sec`
`x_m=29,383 meters`

Explanation:

`"elapsed time to land is: "t=2*v_i*sin theta/g`
`theta=(5cancel(pi))/cancel(12)* cancel(180)/cancel(pi)=`
`theta=5*15=75 ^o`
`t=(2*v_i*sin 75)/(9,81)`
`t=(2*24*0,966)/(9,81)`
`t=4,727 sec`
`x_m=v_i*cos 75 *t`
`x_m=24*0,259*4,727`
`x_m=29,383 meters`