The tee of the world’s longest par 3 sits atop South Africa’s Hanglip Mountain at 400.0 m above the green and can only be reached by helicopter. The horizontal distance to the green is 359.0 m. Neglect air resistance. If a golfer launches a shot that is 34.5 degrees with respect to the horizontal, what initial speed, in m/s, must she give the ball to land it on the green?  What is the time, in seconds, that it takes the ball to reach the green?

Suppose a soccer player kicks the ball from a distance 26 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 36° above the horizontal. m/s

A puma (aka cougar or mountain lion) is one of the best jumpers among all animals. It can jump to a height of 12.0 feet high when it leaves the ground at an initial angle of 45°. What is the initial speed (in m/s) of the puma as it leaves the ground?

Hank Huckleberry, who is the quarterback for the Kennesaw Kilowatts in the Metro Metric Football League, where all distances in the field are measured in meters. Hank throws the ball with an initial velocity of 16 m/s at an angle which is 48 degrees up from north. He releases the ball from a height of 1.8 m above the field.  How long does it take from the time of the throw until it lands?

A placekicker is about to kick a field goal. The ball is 21.7 m from the goalpost. The ball is kicked with an initial velocity of 19.1 m/s at an angle above the ground. Between what two angles, 0₁ and 02, will the ball clear the 2.67-m-high crossbar? Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identities may be useful: sec 0 = 1/(cos) and sec²0 = 1 + tan²0.) (a) Number (b) Number Units Units 0₂

A ball is shot with a velocity of 24 m/s at an angle of 64° from the top of a 18 m tall building. What is the horizontal distance the ball travels when it hits the ground?

Suppose a soccer player kicks the ball from a distance 15 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 44° above the horizontal. m/s

Dock diving is great form of athletic competition for dogs of all shapes and sizes. Sheba, the American Pit Bull Terrier, runs and jumps off the dock with an initial speed of 9.02 m/s at an angle of 25.0° with respect to the surface of the water. Sheba begins at a height of 0.840 m above the surface of the water. What is her total time of flight up until the instant before she hits the water? Express your answer in seconds.

A snowball rolls off a barn roof that slopes downward at an angle of 40°. The edge of the roof is 14.0 m above the ground, and the snowball has a speed of 7.00 m/s as it rolls off the roof. Ignore air resistance, how far from the edge of the barn does the snowball strike the ground if it doesn't strike anything else while falling? If a man 1.9 m tall is standing 4.0m from the edge of the barn, will he be hit by the snowball?

A crow is flying overhead 10.0 m above the ground when it drops an acorn. When the acorn is dropped, it is moving at 10.0 m/s at an angle of 20.0° below the horizontal. Ignoring air resistance, how much time does it take the acorn to hit the ground? How far horizontally does the acorn travel before it hits the ground? Ignore air resistance.