The position function of a projectile is given by:

r(t) =

(5.0 t + 6.0 t

2

) m

i

+ (30 - t

3

) m

j

(a)

From what height above the ground was the projectile launched?

(b) What is the displacement of the particle in magnitude angle form at t = 2.0 s?

(c)

What is the time taken for the projectile to land on the ground?

(d) What is the horizontal displacement of the projectile when it lands on the

ground?

(e)

What is the time taken by the particle to reach the maximum height?

(f)

What is the velocity of the projectile (in magnitude angle form) when it lands

on the ground?