An Alaskan rescue plane traveling 46 m/s drops a package of emergency rations from

a height of 149 m to a stranded party of explorers. The acceleration of gravity is 9.8 m/s^2.

A). Where does the package strike the ground

relative to the point directly below where it

was released?

Answer in units of m

B). What is the horizontal component of the velocity just before it hits?

Answer in units of m/s.

C). What is the vertical component of the velocity

just before it hits? (Choose upward as the

positive vertical direction)

Answer in units of m/s.

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.

Suppose a wheel with a tire mounted on it is rotating at the constant rate of 2.15 times a second. a tack is stuck in the tire at a distance of 0.373 m from the rotation axis. noting that for every rotation the tack travels one circumference (a) find the tack's tangential speed. (b) what is the tacks radial acceleration?

Select all the correct answers. which three statements about electromagnetic radiation are true?