Multiple choice!

projectile height is modeled by the function h(t) = -16t^2 + v0t + h0 where t is the time in seconds, v0 is the initial vertical velocity, and h0 is the initial height.

a football is kicked from ground level with an initial vertical velocity of 48 ft/s. how long is the ball in the air?

a. 3 seconds
b. 10 seconds
c. 5 seconds
d. 8 seconds

Arrange the images in order to show how lake-effect snow occurs.

This energy transformation diagram represents the energy of a skateboarder moving along a half-pipe. as she skates toward the top of the half-pipe, her original kinetic energy is converted to potential energy and friction. how much of the energy is potential?

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.