At a certain instant, particles and have position vectors and velocities given by: Matlab/Mathematica input: rP = [5,-4] rQ = [-7,8] vP = [-1,-5] vQ = [3,3] What is the rate of change of the distance between points and ?

Astone is dropped from the upper observation deck of a tower, 250 m above the ground. (assume g = 9.8 m/s2.) (a) find the distance (in meters) of the stone above ground level at time t. h(t) = (b) how long does it take the stone to reach the ground? (round your answer to two decimal places.) s (c) with what velocity does it strike the ground? (round your answer to one decimal place.) m/s (d) if the stone is thrown downward with a speed of 2 m/s, how long does it take to reach the ground? (round your answer to two decimal places.) s