An object is launched with an initial velocity of 24.5 m/s at an angle of 37.2 degrees relative to the +x direction. If it is initially at ground level, at what distance away does it return to the ground?

garden hose sprays a burst of water horizontally from 1.6 m above level ground. It hits a fence 2.1 m away, horizontally, at a height 0.93 m above the ground. What was the initial speed of the burst of water?

A football is kicked by a football player. It's initial trajectory is at an angle of ø = 50° above the horizon and has a speed of u = 45 m s-1. The ball lands away from the initial position at a location 7.5m higher from where it was originally kicked. If air resistance is neglected and gravity is taken to be 9.8 m s-2, what is the magnitude and direction of the velocity of the football at the instant it lands?

An airplane with a speed of 93.6 m/s is climbing upward at an angle of 63.6° with respect to the horizontal. When the plane's altitude is 907 m, the pilot releases a package. (a) Calculate the distance along the ground, measured from a point directly beneath the point of release, to where the package hits the earth. (b) Relative to the ground, determine the angle of the velocity vector of the package just before impact. Use negative sign if the angle is below the horizontal.

A projectile is launched from ground level at an angle of 38.0° above horizontal with a speed of 25.0 m/s. If the projectile is moving over level ground, what is the magnitude of the velocity of the projectile (in m/s) at the maximum height? Neglect air resistance.

A dive-bomber has a velocity or 280 m/s at ail angle θ below the horizontal. When the altitude of the aircraft is 2.15 km, it releases a bomb, which subsequently hits a target on the ground. The magnitude of the displacement from the point of release of the bomb to the target is 3.15 km. Find the angle θ.

An airplane with a speed of 86.1 m/s is climbing upward at an angle of 61.7 ° with respect to the horizontal. When the plane's altitude is 648m, the pilot releases a package. (a) Calculate the distance along the ground, measured from a point directly beneath the point of release, to where the package hits the earth. (b) Relative to the ground, determine the angle of the velocity vector of the package just before impact.

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vo = 23.0 m/s. The cliff is h = 61.0 m above a flat, horizontal beach as shown in the figure. h (a) What are the coordinates of the initial position of the stone? X0 = m Yo = (b) What are the components of the initial velocity? 0x m/s Voy* m/s (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) Vx= Vy= (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) X= y = (e) How long after being released does the stone strike the beach below the cliff? S (f) With what speed and angle of impact does the stone land? m/s ° below the horizontal

During the battle of Bunker Hill, Colonel William Prescott ordered the American Army to bombard the British Army camped near Boston. The projectiles had an initial velocity of 43 m/s at 33° above the horizon and an initial position that was 36 m higher than where they hit the ground. How far did the projectiles move horizontally before they hit the ground? Ignore air resistance.

Problem 9: An owl is carrying a mouse to the chicks in its nest. The owl is at that time is 4 m west and 10.5 m above the center of the 34 cm diameter nest, and flying east at 3.1 m/s at an angle 29° below the horizontal when it accidentally drops the mouse. Part (a) Calculate the horizontal position of the mouse when it has fallen 10.5 m, assuming the nest is at the origin of a coordinate system with east being positive. Numeric : A numeric value is expected and not an expression. x = Part (b) How far from the east edge of the nest did the mouse fall, in centimeters? Numeric : Anumeric value is expected and not an expression. d =