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

Question

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

By taking derivatives, do the following. (Give the answers in terms of t.)

    (d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 2.85 s.              

=                           m =                           m/s =                           m/s2 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 x = 19.6t and y = 4.36t ? 5.05t2, where x and y are in meters and t is in seconds. Write a vector expression for the ball's position as a function of time, using the unit vectors i^ and j^. (Give the answer in terms of t.) By taking derivatives, do the following. (Give the answers in terms of t.) obtain the expression for the velocity vector v as a function of time obtain the expression for the acceleration vector a as a function of time Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 2.85 s.

Explanation / Answer

r=19.6t i +4.36t ? 5.05t2 j

v= 19.6 i+ 4.36 ? 5.05 t^2 j

a=10.10 t j

d)=28.785 m/s^2

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