A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time...

Q1 A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates

as functions of time are given by the following expressions:

x= 2t3

m

y= 3t2

+ 12 m

where t in s.

(a) Write a vector expression for the ball’s position as a function of time,

using the unit vectors i and j.

(b) Find:-

(i) the velocity vector v as a function of time.

(ii) the acceleration vector a as a function of time.

(c) Calculate the following at t= 3:-

(i) the position.

(ii) the velocity.

(iii) the acceleration