The basketball player likes to release his foul shots with an initial speed v0 = 23.9 ft/sec. What 2 values of the initial angle θ (θ1 < θ2)will cause the ball to pass through the center of the rim? Neglect clearance considerations as the ball passes over the front portion of the rim.

A person swings from a trapeze, projects herself at angle of 53 degrees, and is supposed to be caught by person B, whose hands are 6.1m above and 8.2m horizontally from persob A's launch point.  a. What initial speed must Person A have just to reach person B? b. If person B misses person A completely as she flies past, how far horizontally does person A travel, from her initial launch point, before landing in the safety net 8.6m below her starting point? PROVIDE ILLISTRATION

For safety reasons, park rangers decide to start an avalanche on a mountain slope.  They fire an artillery shell at an angle of 520 above the horizontal with an initial speed of 295 m/s.  Thirty seconds later they see the explosion.  What is the x coordinates of the shell where it explodes, relative to the firing point?

Goro Shigeno (Pitcher) and Joe Gibson Jr. (hitter) went head to head in the Major League Baseball (MLB) series. For the last pitch, Gibson hits the baseball with 82 ft/s at angle of 75°. When the ball is directly above Shigeno he begins to run under it. Determine the (a) the total distance that the pitcher runs and (b) the constant speed at which pitcher must run in order to make the catch at the same elevation at which the ball was hit. (Note: the distance between the pitcher and hitter is 70 ft.)

A basketball player attempts a three-point shot 10.0 m from the basket as shown in the figure below. The player shoots the ball at an angle of 8 = 41.2° from horizontal, and releases the ball at a height of h = 2.20 m. The rim of the basket is at a height of H = 3.05 m. magnitude direction (a) What is the acceleration (in m/s²) of the basketball at the highest point in its trajectory? m/s² ---Select--- ↑ Need Help? 10.0 m (b) At what speed (in m/s) must the player throw the basketball so that the ball goes through the hoop without striking the backboard? m/s H Read It

A space vehicle is coasting at a constant velocity of 24.6 m/s in the +y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.201 m/s² in the +x direction. After 47.8 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the +y direction. (a) Number i (b) Number i Units Units +

A 150-m-wide river flows due east at a uniform speed of 2.3m/s. A boat with a speed of 8.2m/s relative to the water leaves the south bank pointed in a direction 33° west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the boat to cross the river? (a) Number (b) Number (c) Number i Units Units Units [[ ↔

A 240-m-wide river flows due east at a uniform speed of 3.3m/s. A boat with a speed of 7.7m/s relative to the water leaves the south bank pointed in a direction 39o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the boat to cross the river?