15. For a fixed initial speed, the range of a projectile is determined by the angle at which it isfired. For all but the maximum, there are two angles that give the same range. Consideringfactors that might affect the ability of an archer to hit a target, such as wind, explain why thesmaller angle (closer to the horizontal) is preferable. When would it be necessary for the archerto use the larger angle? Why does the punter in a football game use the higher trajectory?

The smaller angle is chosen because smaller leads to the shorter time of flight. If the archer uses…

Answered: 15. For a fixed initial speed, the…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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10. Determine the horizontal distance at which the maximum height occurs for a projectile that is launched with an initial speed of 15 m /s and an initial angle of 55°.
7. A bullet is fired downward at an angle of 30° below the horizontal. 3.20 seconds later, the bullet hits a target that is 120 m horizontally to the right of the starting point. Let x direction be to the right and y direction point upward. a) Find vox, the x-component of the initial velocity of the bullet. b) Find the y-component of the initial velocity of the bullet. Voy,
5. A ball is thrown horizontally by a pitcher from a height of 1 m and lands 18.4 m away on the ground behind home plate. a). Draw a simplified sketch of only the ball, it's release height, trajectory, and landing point. b) What is the time of flight of the ball? c). What is the initial velocity of the ball? 7. A water park is designing a new water slide that finishes with the rider flying horizontally off the bottom of the slide. The slide is designed to end 1.2 m above the water level, and the average rider is estimated to leave the bottom of the slide at 25 m/s. a). Draw a sketch of the scenario showing the trajectory of the rider from the bottom of the slide to the water. b) Determine how far will the rider fly through the air (horizontally) before hitting the water?
3. Two mobile containers, A and B, carries raw materials for concrete batching plant. The containers' motions are defined by their velocity vectors: for container A, A = 6i + 4k (km/hr) and for container B, B = -4i +7k (km/hr). What is the angle between the line of action (path) of both containers? Express your answer in units of degree.
1) A kicker lines up to make a field goal attempt. If the ball leaves the kicker's foot at an initial speed of 20 m/s and an angle to the horizontal of 30.0°, Over what distances will the kick be successful (that it, over what range of distances will the ball clear the crossbar?) Assume the kick is in a domed stadium with no wind, and the ball is a point object. a.
2. A football kicker is attempting to make a 190 ft field goal. If the launch angle of the football is 35°, what is the minimum initial speed u which will allow the kicker to succeed? NOT allowed to use Chegg or other such websites. 12 ft 9. 190 ft e Type here to search LOUC Lenovo F11 Esc AI F9 F10 F5 F6 F7 F8 F3 F4 ol
A projectile is fired with an initial speed of 36.6 m/s at an angle of 44.0 degrees above the horizontal on a long flat firing range. C.Determine the total horizontal distance covered (that is, the range). D.Determine the speed of the projectile 1.10 ss after firing.
Q1. An archer aims at the bullseye of a target 50.0 m away. The arrow is at the same height as the bullseye. If the archer angles the arrow upwards at 12°, what must the arrow's initial speed be in order to hit the bullseye?
6. A projectile is launched at ground level with an initial speed of 46.0 m/s at an angle of 35.0° above the horizontal. It strikes a target above the ground 2.70 seconds later. What are the x and y distances from where the projectile was launched to where it lands? 7. A ball is thrown horizontally from the top of a 54.0-m building and lands 117.3 m from the base of the building. Ignore air resistance. (Assume the ball is thrown in the +x direction and upward to be in the +y direction.) (a) How long (in s) is the ball in the air? s (b) What must have been the initial horizontal component of the velocity (in m/s)? (Indicate the direction with the sign of your answer.) m/s (c) What is the vertical component of the velocity (in m/s) just before the ball hits the ground? (Indicate the direction with the sign of your answer.) m/s (d) What is the velocity (in m/s) (including both the horizontal and vertical components) of the ball just before it hits the ground? magnitude…
5. A rocket is launched from the ground with an initial speed of 100 m/s at an angle of 60 degrees above the horizontal. What is the rocket's maximum height? How far from the launch site does the rocket land?
a. Find the Range and Maximum Height of a projectile launched at 4.5 m/s t an angle of 300. Find the Range and Maximum Height of a projectile launched at 4.5 m/s t an angle of 600. Discuss any similarities between a. and b.
3. Consider a ball undergoing a 2D projectile motion, whose position (unit: m) as a function of time (unit: s) is 3(t) = tî + (V3t – 5t²)ĵ, where t stands for time. (a) Find the initial launch angle of the projection. (b) Find the speed of the ball when it lands on the ground.

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