Answer to Question #159321 in Mechanical Engineering for loy

Question

1-     A p projectile is launched with an initial seed of 200 m/s at an angle of 60 with respect to the horizontal> compute the range R as measured up the incline

Answer 1

Given $v=200m/s$

From the figure above, the horizontal distance, $X=Rcos 20=0.94R$

Vertical distance, $Y=Rsin20=0.342R$

Then, $X=vcos60\times t \implies t=\frac{0.94R}{200cos60}=0.0094R$

Y direction

$Y=v_{y0}t-0.5gt^2$

$0.342R=vsin60\times t-0.5t^2$

$0.342R=200sin60\times 0.0094R-0.5\times 9.81\times 0.0094^2$

$R=2967.2 m$