Question

If a projectile is fired with an initial velocity v₀ meters per second at an angle α above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations

x=(v₀ cos α)t     &     y=(v₀ sin α) t-1/2gt²  

Suppose α=30^o and v₀=500 m/s

(a) At what time t does the projectile hit the ground?

(b) How far does the projectile travel from the time it is fired until the time it hits the ground?

(c) What is the maximum height of the projectile?

Answer 1

SOLUTION :- To solve the given problem we use following concept :-

1.

Where S is displacement ,a is acceleration,u is initial velocity and t is time.

2.

Where v is final velocity

u is initial velocity

s is displacement and a is acceleration.

Other concept is given in solution given below.