An object thrown in the air has a velocity after t seconds that can be described by v(t) = −9.8t + 31 (in meters/second) and a height h(t) = −4.9t2 + 31t + 45 (in meters). The object has mass m = 4 kilograms. The kinetic energy of the object is given by K = 1 2 mv2, and the potential energy is given by U = 9.8mh. Enter an expression for the total kinetic and potential energy K + U as a function of time. What does this expression tell you about the energy of the falling object? Complete the explanation. K+U= () joules

Since the sum is (U/K/a single variable/a constant), this means that the energy of the object is constant and that as it (gains/loses) kinetic energy by falling, it ( gains/loses) the same amount of potential energy.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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rauschg

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step-by-step explanation:

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s