A stone dropped from a captive balloon at an elevation of 1200 ft. Two seconds later another stone is projected vertically upward from the ground with velocity of 252 ft. per second. If the gravitational acceleration constant is 32.17 ft/s2 , when (in seconds) and where (in ft) will the stones pass each other?

Suppose a migrating bird flies at a constant altitude of 5 km, with a velocity of 42 km/h. At time t = 0 the bird passes directly above a radar station, where t is measured in hours. (a) How fast is the distance between the bird and the radar station changing after 10 minutes? Round your final answer to 2 decimal places and provide units. (b) How fast is the distance between the bird and the radar station changing at time t = 0, i.e. when the bird is directly above the radar station? Is this reasonable? Explain briefly.

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 20 ft/s. 90 ft (a) At what rate is his distance from second base decreasing when he is halfway to first base? (Round your answer to one decimal place.) ft/s (b) At what rate is his distance from third base increasing at the same moment? (Round your answer to one decimal place.) ft/s Need Help? Read It

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 46 ft/s. Its height in feet after t seconds is given by y = 46t – 21t2. A. Find the average velocity for the time period beginning when t=2 and lasting .01 s: .005 s: .002 s: .001 s: NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. Estimate the instanteneous velocity when t=2.

A rocket is fired upward with a velocity (v) of 590 feet per second. find how many seconds pass before the rocket reaches the ground (s=0) again. use the quadratic equation s=-16t^2+590t.

Superman needs to save Lois from the clutches of Lex Luthor. After flying for 6 seconds, he is 1746 meters from her. Then at 14 seconds he is 1274 meters from her.What is Superman's average rate?    meters per secondHow far does Superman fly every 12 seconds?    metersHow close to Lois is Superman after 26 seconds?    meters

A ball, rolling with velocity 2 m/s, rolls off a cliff. The cliff ledge is 90 m above the ground below. What is the horizontal distance the ball will travel before hitting the ground. Give numerical answer in meters.

ball is thrown vertically apart from the top of a building 288 feet tall with an initial velocity of 48 feet per second. The distance s (in feet) of the off from the ground after t seconds is s(t)=288+48t-16t^2 a) after how many seconds does the ball strike the ground? b) after how many seconds will the ball pass the top of the building on it way down?