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 the following expressions. x = ( 19.0 m/s)t y = (5.60 m/s)t- (4.90 m/s2)t2 Write a vector expression for the ball's position as a function of time, using the unit vectors i and j. (Use t, i and j as necessary.) By taking derivatives, obtain an expression for the velocity vector vas a function of time. By taking derivatives, obtain an expression for the acceleration vector a as a function of time. Next use unit vector notation to write an expression for the position of the golf ball at t = 1. 50 s. r(1.50 s) = m ) i + Write an expression for the velocity at this time. Write an expression for the acceleration at this time.

Explanation / Answer

1) 19 t i -5,6t j-4.90 t^2 j 2)19i-5.6j-9.8tj 3) -9.8j 4) 28.5 i -19.425j similarly substitute for t=1.5

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