A leaky bucket has an opening at the bottom of the tank that is 2m from the top. If the top of
the bucket is open to the atmosphere, what is the speed of the water as it leaves the opening?
Assume that the tank s large enough that the velocity of the water at the top is zero. The
acceleration of gravity is 9.81 m/s2

If a rock is thrown upward on the planet mars with a velocity of 10 mys, its height in meters t seconds later is given by y − 10t 2 1.86t 2 . (a) find the average velocity over the given time intervals: (i) [1, 2] (ii) [1, 1.5] (iii) [1, 1.1] (iv) [1, 1.01] (v) [1, 1.001] (b) estimate the instantaneous velocity when t − 1.