A group of collegiate golfers invent a game where they have to hit a golf ball up to the roof of a building that is about 23.76 m tall. The hole is 3.3 m away from the edge of the roof (label this in the figure). The roof is perfectly level all the way across. a)Isabella strikes the ball causing it to launch from the ground with an initial velocity of 22.70 m/s and at an angle of θ = 72.00 . Is it possible for Isabella to make her shot to the roof? Ignore wind resistance for part (a). b)How far away from the edge of the building must Isabella stand to get the ball onto the roof (D=?)? Ignore wind resistance for part b.

The cork from a champagne bottle slips through the hands of a waiter opening it, moving with an initial velocity v0 = 15.5 m/s at an angle θ = 75.8° above horizontal. A diner is sitting a horizontal distance d away when this happens. Assume the cork leaves the waiter’s hands at the same vertical level as the diner and that the cork falls back to this vertical level when it reaches the diner. Use a Cartesian coordinate system with the origin at the cork's initial position. a.) Calculate the time, td in seconds, for the cork to reach the diner.  b.)  Reacting quickly to avoid being struck, the diner moves 2.00 m horizontally directly toward the waiter opening the champagne bottle. Determine the horizontal distance, d in meters, between the waiter and the diner at the time the cork reaches where the diner had previously been sitting.  Please explain how you got your answer in detail

At t=0, a projectile is launched from ground level with an initial speed of vi. at t=1.5s, it is displaced d=33 m horizontally from the launch point and h=25m above the launch point. let +x be to the right and +y upward. Ignore air resistance. a) what is the x component of v0x of the projectiles velocity immediately after it is launched? b) what is the y component voy of the projectile's velocity after it is launched? c) what is the maximum height reached above the ground?

A playground is on the flat roof of a city school, 6.1 m above the street below (see figure). The vertical wall of the building is h = 7.60 m high, forming a 1.5-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of e = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. (Give your answer to two decimal places to reduce rounding errors in later parts.) m/s (b) Find the vertical distance by which the ball clears the wall. (c) Find the horizontal distance from the wall to the point on the roof where the ball lands. m