PROBLEM SET INSTANTANEOUS VELOCITY AND ACCELERATION 1. If S = (3 - 512 + 5t - 3, when will the velocity be 2? 2. If S = t - 10t2 , when will the acceleration be zero? 3. If S= 12 - +3 , find the velocity when the acceleration be zero? 4. Two particles have positions at time t given by the equationsS, = 4t - to and $2 = t? - 2 . Find their position when they have the same velocity. 5. Two particles have positions at time t given by the equations S, = 3 -t and S, = 6t2 -t3 Find their velocity when they have the same acceleration. 6. A baseball is thrown directly upward with an initial velocity of 64ft per second. How will it rise ? 7. A cliff 128 ft high overhangs a lake. A man on the edge of the cliff throws a stone vertically upward with a velocity of 32ft per second. And what velocity does the stone strike the water ? 8. A bomb is dropped (vo = () from an airplane 6400ft high. Find when and at what velocity the bomb will strike the g 9. Find the initial velocity needed in order to shoot a projectile vertically upward a distance of 10000 feet