How far does the projectile travel horizontally during its f

How far does the projectile travel horizontally during its flight? What are the horizontal and vertical components of the projectile\'s velocity just before it strikes the ground?

Solution

(b) Assume the speed of the plane is u

u_y = u cos(53^o), u_x = u sin(53^o)

u_x = constant because there is no acceleration along x-axis

Required formula is s = u_y t + ½ gt²

Given s = 730 m, t = 5 s

So, u_y = 121.5 m/s

So u = u_y / cos(53^o) = 201.8 m/s

(d) Projectiles velocity just before it strikes the ground is v

v_x = u_x = 201.8×sin(53^o) = 161.2 m/s

and v_y = u_y + gt = 121.5 + 9.8×5 = 170.5 m/s