An object at rest begins to rotate with a constant angular acceleration. if this object rotates through an angle θ in time t, through what angle did it rotate in the time ½t?

a. 4θ
b. ¼θ
c. ½θ
d. 2θ
e. θ

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.

Which diagram correctly demonstrates the various forces acting on a ball moving horizontally with some speed?

The coefficient of friction is a number that represents the resistance to sliding between two in contact with one another.