An object rolls off a tabletop with a horizontal velocity v0x = 18 m/s. The table is at a height y0 = 1.2 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object’s trajectory, and its vertical y-axis pointing up. What is the vertical component of velocity, in meters per second, when the object hits the ground?

A baseball is thrown at an angle θ = 22° above the horizontal with an initial vertical velocity v0y = 13.5 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position. Calculate the initial horizontal velocity component, v0x in m/s.

A woman stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 21.5 m/s. The stone leaves her hand at a height of h = 57.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the stone leaves the hand. Write the equations for the position of the stone with time, using the coordinates in the figure. Use the following as necessary: t. Assume that x and y are in meters and t is in seconds.

Solve the problem by showing all complete solutions and illustration. An arrow is shot from a height of 1.5 m toward a cliff of height H. It is shot with a velocity of 30 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 4.0 s later. (a) What is the height of the cliff? (b) What is the maximum height reached by the arrow along its trajectory? (c) What is the arrow’s impact speed just before hitting the cliff?

A projectile is launched with an initial velocity of 60.0 m/s at an angle of 30.0° above the horizontal. The projectile lands on a hillside 4.00 s later. What is the projectile’s velocity (magnitude and direction) at the instant before striking the hillside? Answers: (a) 52.8 m/s @ -10.1

Consider a projectile launched with an initially horizontal velocity of 12.2m/s12.2m/s from a cliff of height h=10.93mℎ=10.93m. It travels a horizontal distance, d�, before striking the ground at an angle θ� below the horizontal. Use the Cartesian coordinate system provided in the drawing with the origin at the base of the cliff. Assume that air resistance is negligible.How much time elapses, in seconds, from the moment the projectile is launched until it hits the ground?what is the horizontal distance of the projectile?what is the speed of the projectile in m/s as it stirkes the ground?what is the impact angle in degrees below the horizontal at which the projectile hots the ground?

A helicopter is flying horizontally with a speed of 67.3 m/s over a hill that slopes upward with a 5% grade (that is, the "rise" is 5% of the "run"). The helicopter's velocity is horizontal with a magnitude of 67.3 m/s and can be resolved into components parallel and perpendicular to the hill. Calculate the magnitude of the perpendicular component.