3. a gear rests in a fixed horizontal rack. a cord is wrapped around the inner core of the gear so that it remains horizontally tangent to the inner core at a. if the cord is pulled to the right with a constant speed of 2 ft/s, determine the velocity of the center of the gear, c.

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