Set up an ivp whose solution will give the temperature of the body described in the following problem at the end of t minutes.
a body, whose initial temperature is 50c, is placed in water whose temperature is kept constant at 20c. the body then cools at a rate (with its time unit in minutes) that is equal to one-fourth the difference between its temperature and the temperature of the water.

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