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# PS5 - Problem Sheet 5 1 A golf ball is hit off a tee at the...

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Problem Sheet 5 1. 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 = (18.0 m/s) t y = (4.0 m/s) t – (4.90 m/s 2 ) t 2 a. Write a vector expression for the ball’s position as a function of time, using the unit vectors i and j. b. Obtain expression for velocity and acceleration as a function of time c. Using the unit vector notation, find the position, velocity and acceleration at t = 3.00 s 2. The coordinates of an object moving in the xy plane vary with time according to the equation x = (-5.0 m) sin(wt) y = (4.0 m) – (5.0 m) cos(wt) where w is constant and t is in seconds. a. Determine the components of velocity vector and acceleration at t = 0. b. Write the expressions of velocity and acceleration at any time t >0 3. At t = 0, a particle moving in the xy plane with a constant acceleration has a velocity of v initial = (3.00i -2.00j) m/s and is at the origin. At t = 3.0s, the velocity of the particle is v 3.0s

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PS5 - Problem Sheet 5 1 A golf ball is hit off a tee at the...

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