Tennis player hits a ball 2.0 m above the ground at an angle 5º above the horizontal. The horizontal distance to the net is 7.0 m and the net is 1.0m high. What is the minimum initial speed, vi, needed to clear the net? (Hint: this is like the problem done in the handout, but since we don’t know the initial

Tennis player hits a ball 2.0 m above the ground at an angle 5º above the horizontal. The horizontal distance to the net is 7.0 m and the net is 1.0m high. What is the minimum initial speed, vi, needed to clear the net? (Hint: this is like the problem done in the handout, but since we don’t know the initial

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 7OQ: A student at the top of a building of height h throws one ball upward with a speed of vi and then...

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In the blizzard of ’88, a rancher was forced to drop hay bales from an airplane to feed her cattle. The plane flew horizontally at 160 km/hr and dropped the bales from a height of 80 m above the flat range, (a) She wanted the bales of hay to land 30 m behind the cattle so as to not hit them. Where should she push the bales out of the airplane? (b) To not hit the cattle, what is the largest time error she could make while pushing the bales out of the airplane? Ignore air resistance.
Imagine an archer preparing to fire an arrow. The archer aims the arrow directly ahead, that is to say, parallel with the ground. Bows are drawn to the corner of the mouth when fired. Let's say, for this particular archer, that puts the arrow 1.8 m (about 5.5 feet) above the ground. Assume that we have measured the initial speed of arrows fired by this archer with this bow and it is 100 m/s. (Ignore wind resistance) a) At what point during the arrow's flight will it be moving the fastest? (Be careful here, think about it. You don't need to do any calculations to figure this out.) b) How long will it take for the arrow to hit the ground?c) How far will the arrow travel during this time period?
Projectile. A cannonball is catapulted toward a castle. The cannonball’s velocity when it leaves the catapult is 40 m/s at an angle of 370 with respect with the horizontal and the cannonball is 7.0 m above the ground at that time. (a) What is the maximum height above the ground reached by the cannonball? (b) Assuming the cannonball makes it over the castle walls and lands back down on the ground, at what horizontal distance from its release point will it land? (c) What are the x and y components of cannonball’s velocity just before it lands? The y-axis points up.
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A ball is thrown vertically upward with an initial speed of 88 ft/sec from the base A of a cliff with H = 60 ft. Determine the distance h by which the ball clears the top of the cliff and the time t after release for the ball to land at B. Also, calculate the magnitude of the impact velocity vg. Neglect air resistance and the small horizontal motion of the ball. Answers: h = i ft t = i sec VB = i ft/sec
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A diver jumps off a cliff of height h at an angle 0 = 58° (see figure). He reaches a maximum height of hmax= 21 m above the top of the cliff before falling to the water below. He hits the water X=215 m from the base of the cliff. Determine the speed of the diver just before he hits the water, VĄ. Take g=10m/s<. Round your answer to one decimal place. y Jhmax h
A ball is thrown vertically upward with an initial speed of 68 ft/sec from the base A of a cliff with H = 36 ft. Determine the distance h by which the ball clears the top of the cliff and the time t after release for the ball to land at B. Also, calculate the magnitude of the impact velocity vg. Neglect air resistance and the small horizontal motion of the ball. H Answers: h = i ft t = sec Vg = ft/sec
If you wanted to plot the range R (o the y-axis) versus a quantity that depends on the initial speed vi, not angle, such that the plot would be a straight line, what quantity would you choose to plot on the x-axis?
The figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are 9-26.0% 8₂-49.0% and 6-76.0°, and the distances are d₁ - 5.90 m, d₂-7.40 m. and da = 12.0 m. What are the (al magnitude and (b) angle of the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less than 180°, measured from the +x direction. Units (a) Number Units (b) Number i
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An arrow is shot from a height of 1.6m toward a cliff of height H. It is shot with a velocity of 27 m/s at an angle of 60 above the horizontal. It lands on the top edge of the cliff 3.8s later. a ) what is the height of the cliff (in m)? b) what is the maximum height (in m) reached by the arrow along its trajectory? c) what is the arrows impact speed in m/s just before hitting the cliff ?