The speedometer of a car moving to the north reads 50 mph at an intersection. at an intersection, another car crosses in front of it traveling at 50mph which statement is the most accurate description of the motion of the vehicles

a: the vehicles are moving at the same velocity
b: the vehicles are moving in the same direction
c: the vehicles are moving at different velocities
d: the vehicles are moving at different rates

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