Aboy uses a slingshot to launch a pebble straight up into the air. the pebble reaches a height of 37.0 m above the launch point 2.3 seconds later. assume air resistance is negligible (a) what was the pebble's initial speed (just after leaving the slingshot)? m/s (b) how much time did it take for the pebble to first reach a height of 18.5 m above its launch point? s

The cement bag shown in the figure has a mass of 50 kg and the small pulley has a mass of 2 kg. if the cement bag is pulled upwards with an acceleration of 2 m/s^2, find the force f pulling the rope.

Atank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. the values in the table show the volume v of water remaining in the tank (in gallons) after t minutes.t(min) 5 10 15 20 25 30v(gal) 694 444 250 111 28 0(a) if p is the point (15, 250) on the graph of v, find the slopes of the secant lines pq when q is the point on the graph with t = 5, 10, 20, 25, and 30.(b) estimate the slope of the tangent line at p by averaging the slopes of two secant lines.(c) use a graph of the function to estimate the slope of the tangent line at p. (this slope represents the rate at which the water is flowing from the tank after 15 minutes.)show all steps.

Why is the energy that results from a roller coaster's position at the top of a hill referred to as potential energy?