Problem_Sheet_4 - Ch 4 GE 208K Problem Sheet 4 1 A golf...

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Ch 4: GE 208K Problem Sheet 4 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: 2 2 t ) s / m 90 . 4 ( t ) s / m 0 . 4 ( y t ) s / m 0 . 18 ( x - = = 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 ) wt cos( ) m 0 . 5 ( ) m 0 . 4 ( y ) wt sin( ) m 0 . 5 ( x - = - = 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 s / m ) j ˆ 00 . 2 i ˆ 00 . 3 ( v initial - = and is at the origin. At t = 3.0s, the
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Problem_Sheet_4 - Ch 4 GE 208K Problem Sheet 4 1 A golf...

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