For summertime fun, you decide to combine diving from a board with shooting a basketball through a hoop. (a) During several practice runs you stand at the end of a diving board and launch the basketball horizontally from a position 4.50 m above the water. If the average landing spot is 6.25 m horizontally from your initial position, what is the average launch speed? (b) Now you step off the diving board and launch the ball in order to make a basket in a hoop that is 3.75 m horizontally from the ball and 1.00 m above the water as shown in Figure 4-31 . At what time after stepping off the board should you launch the ball? Hint: Consider the time required for the ball to travel the required horizontal distance. (c) What are the horizontal and vertical components of the ball’s velocity at the instant of launch? Figure 4-31 Problem 79
For summertime fun, you decide to combine diving from a board with shooting a basketball through a hoop. (a) During several practice runs you stand at the end of a diving board and launch the basketball horizontally from a position 4.50 m above the water. If the average landing spot is 6.25 m horizontally from your initial position, what is the average launch speed? (b) Now you step off the diving board and launch the ball in order to make a basket in a hoop that is 3.75 m horizontally from the ball and 1.00 m above the water as shown in Figure 4-31 . At what time after stepping off the board should you launch the ball? Hint: Consider the time required for the ball to travel the required horizontal distance. (c) What are the horizontal and vertical components of the ball’s velocity at the instant of launch? Figure 4-31 Problem 79
For summertime fun, you decide to combine diving from a board with shooting a basketball through a hoop. (a) During several practice runs you stand at the end of a diving board and launch the basketball horizontally from a position 4.50 m above the water. If the average landing spot is 6.25 m horizontally from your initial position, what is the average launch speed? (b) Now you step off the diving board and launch the ball in order to make a basket in a hoop that is 3.75 m horizontally from the ball and 1.00 m above the water as shown in Figure 4-31. At what time after stepping off the board should you launch the ball? Hint: Consider the time required for the ball to travel the required horizontal distance. (c) What are the horizontal and vertical components of the ball’s velocity at the instant of launch?
The egg is launched at a speed of 54 m/s at an angle of 65 degrees above the horizontal. How far horizontally from the catapult should a portal be placed in order to intercept the egg before it hits the ground?
In an article on the use of the sling as a weapon, the author states that a skilled slinger can sling a rock a distance of about 384 m. What is the minimum speed the rock must have when it leaves the sling to travel exactly 384 m?
To solve this problem it will be necessary to first determine the required launch angle of the projectile. What launch angle must the projectile have in order to find the minimum speed required to achieve a given horizontal distance?
*Draw a simple diagram representation for the solution.In a game war, one team sets base on a cliff 15m high and 60m away from the opponent’s base. At what velocity must the attack be launched so that the lower base will be hit? The initial launch is at 20 degrees below the horizontal?
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