EBK PHYSICS FOR SCIENTISTS AND ENGINEER
6th Edition
ISBN: 9781319321710
Author: Mosca
Publisher: VST
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Chapter 3, Problem 21P
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The magnitude of the velocity of a projectile when it is at its maximum height above ground level is 10.0 m/s. (a) What is the magnitude of the velocity of the projectile 1.00 s before it achieves its maximum height? (b) What is the magnitude of the velocity of the projectile 1.00 s after it achieves its maximum height? If we take x = 0 and y = 0 to be at the point of maximum height and positive x to be in the direction of the velocity there, what are the (c) x coordinate and (d) y coordinate of the projectile 1.00 s before it reaches its maximum height and the (e) x coordinate and (f) y coordinate 1.0 s after it reaches its maximum height?
Chapter 3 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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- Consider a projectile fired with an initial velocity perpendicular to an incline sloping downward at an angle α with respect to the horizontal. When it eventually lands on the incline, let its velocity make an angle θ with respect to the horizontal. Obtain the (a) angle θ, (b) the value of α that yields the minimum value of θ, and (c) the corresponding value of this minimum θ. (d) If a rock is thrown at the top of the same incline, what angle θ from the horizontal should rock be thrown so that it has the greatest range?arrow_forwardThe world long jump record is 8.95 m (Mike Powell, USA, 1991). Treated as a projectile, what is the maximum range, in meters, obtainable by a person if he or she has a take-off speed of 8.2 m/s? Assume the motion is over level ground and the initial velocity makes an angle of 45° with the horizontal.arrow_forwardA projectile is fired at an angle of 45º above the horizontal. If air resistance is neglected, the line in the graph that best represents the horizontal displacement of the projectile as a function of travel time is: (A) 1 (B) 2 (C) 3 (D) 4 (E) None of these is correctarrow_forward
- A rock is thrown off a cliff at an angle of 53° with respect to the horizontal. The cliff is 100 m high. The initial speed of the rock is 30 m/s. (a) How high above the edge of the cliff does the rock rise? (b) How far has it moved horizontally when it is at maximum altitude? (c) How long after the release does it hit the ground? (d) What is the range of the rock? (e) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s, and t = 6.0 s?arrow_forwardA horizontal projectile is shot with an initial velocity of 13.9 m/s from a height of 8 m above the ground. Neglecting air-resistance, what is the direction of the final velocity (in degrees)? Hint: angle measured from the horizontal (x-axis), positive for counterclockwise & negative for clockwise.arrow_forwardA Chinook (King) salmon (Genus Oncorynchus) can jump out of water with a speed of 5.55 m/s. If the salmon is in a stream with water speed equal to 1.65 m/s, how high in the air can the fish jump if it leaves the water traveling vertically upwards relative to the Earth?arrow_forward
- The record distance in the sport of throwing cowpats is 81.1 m. This record toss was set by Steve Urner of the United States in 1981. Assuming the initial launch angle was 45° and neglecting air resistance, answer the following. (a) Determine the initial speed of the projectile.arrow_forwardThe initial velocity v0 of a hockey puck is 105 mi/h. Determine (a) the largest value (less than 45°) of the angle a for which the puck will enter the net, (b) the corresponding time required for the puck to reach the net.arrow_forwardA shell is fired from a cliff that is 36 m above a horizontal plane. The muzzle speed of the shell is 80.0 m/s and it is fired at an elevation of 25° above the horizontal. (a) Determine the horizontal range of the shell.(b) Determine the velocity of the shell as it strikes the ground.arrow_forward
- Problem 1: A person kicks a ball with an initial velocity of 15m/s at an angle 37° above the horizontal (neglect the air resistance). Find (a) the total time the ball is in the air. (b) the horizontal distance traveled by the ballarrow_forwardA golf ball is hit at an angle of 40° above horizontal with a speed of 55 m/s. (a) How high does it rise, (b) how long is it in the air, and (c) how far does it travel horizontally? Express your answer in (a) meters, (b) seconds, and (c) meters.arrow_forwardConsider a projectile launched at a height h feet above the ground and at an angle 0 with the horizontal. If the initial velocity is v, feet per second, the path of the projectile is modeled by the parametric equations x = t(vo cos(0)) and y = h + (vo sin 0)t - 16t2. A rectangular equation for the path of this projectile is y = 7 + x - 0.008x². (a) Eliminating the parameter t from the position function for the motion of a projectile to shows that the rectangular equation is as follows. -16 (sec(0))2 y = x² + tan(0)x + h Vo (b) Find h, vo, and 0. (Round your answers to two decimal places.) Vo %3D (c) Use a graphing utility to graph the rectangular equation for the path of the projectile. Confirm your answer in part (b) by sketching the curve represented by the parametric equations. 60 50 40 30 20 50 100 150 10 50 100 150 60 50 60 50 40 40 30 30 20 10 50 100 150 10 20 40 60 80 (d) Use a graphing utility to approximate the maximum height of the projectile. (Round your answers to two…arrow_forward
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Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY