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?
A toy car speeds up at 1.0 m/s2 while rolling down a ramp, and slows down at a rate of 2.0 m/s2 while rolling up the same ramp. What is the slope of the ramp in degrees? Grade in %? The friction coefficient?
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A box with friction coefficient of 0.2 rests on a 12 foot long plank of wood. How high (in feet) must one side of the plank be lifted in order for the box to begin to slide?
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