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?
2. A projectile is shot from a launcher at an angle 0,, with an initial velocity
magnitude vo, from a point even with a tabletop. The projectile hits an apple atop a
child's noggin (see Figure 1). The apple is a height y above the tabletop, and a
horizontal distance x from the launcher. Set this up as a formal problem, and solve
for x. That is, determine an expression for x in terms of only v₁, 0, y and g.
Actually, this is quite a long expression. So, if you want, you can determine an
expression for x in terms of v., 0., and time t, and determine another expression for
timet (in terms of v., 0.,y and g) that you will solve and then substitute the value of
t into the expression for x. Your final equation(s) will be called Equation 3 (and
Equation 4).
Draw a phase portrait for an oscillating, damped spring.
A person is running a temperature of 41.0°C. What is the equivalent temperature on the Fahrenheit scale? (Enter your answer to at least three significant figures.)
°F
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
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