While Johın is traveling along a straight inter- state highway, he notices that the mile marker
reads 257 km. John travels until he reaches
the 133 km marker and then retraces his path
to the 173 kmn marker.
What is. John's resultant displacement from
the 257 km märker?
Answer in units of km.
How far has he traveled?
Answer in units of km.

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