Asimple pendulum is made by tying a 2.44 kg stone to a string 4.57 m long. the stone is projected perpendicularly to the string, away from the ground, with the string at an angle of 69.4 degrees with the vertical. it is observed to have a speed of 8.00 m/s when it passes its lowest point. what was the speed of the stone (in meters/second) at the moment of release?

An object with initial temperature 130 ∘ f is submerged in large tank of water whose temperature is 50 ∘ f . find a formula for f ( t ) , the temperature of the object after t minutes, if the cooling constant is k = − 0.2 . remember newton's law of cooling (the rate of change of temperature with respect to time is equal to k times the difference between the temperature of the object and the surrounding temperature) ! : )