Its x and y coordinates as functions of time are given by x = 17.7t and y = 4.32

Question

Its x and y coordinates as functions of time are given by x = 17.7t and y = 4.32t -4.97t^2 , where x and y are in meters and t is in seconds.

(a) Write a vector expression for the ball's position as a function of time, using the unit vectors i(hat) and j(hat). Give the answer in terms of t.
vector r =

(b) obtain the expression for the velocity vector v as a function of time
vector v =

(c) obtain the expression for the acceleration vector a as a function of time
vector a =

(d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.18 s.

vector r = ___________________ m

vector v = ___________________ m/s

vector a = ___________________ m/s2

Explanation / Answer

R= Xi + Yj = 17.7t i + [ 4.32t -4.97t^2 ] j Vx= dx/dt = 17.7 i Vy = dy/dt = [4.32 -9.8t] j V= 17.7 i + [4.32 -9.8t] j acceleration = - 9.8 m/s^2 for all t . R= 56.286 i -9.88 j V= 17.7i -26.844 j a= -9.8 m/s^2 j

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