Brittany is changing the tire of her car on a steep hill 25.0 m high. She trips and drops the 12.0-kg spare tire, which rolls down the hill with an initial speed of 2.50 m/ s. What is the speed of the tire at the top of the next hill, which is 6.00 m high? (Ignore the effects of rotation KE and friction.) * a. 1.97 m/s
b. 19.7 m/s
c. 25.0 m/s
d. 250. m/s

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j