What is the velocity (magnitude and direction) of the ball at the maximum heigh, and if the fence is 3.50 m tall and 150. m away, how long does it take to reach the fence and how high above the ground is the ball when it reaches the fence? Does the ball clear the fence? b) Calculate how much time it takes to reach its maximum height, how high it goes, and how long it wouldtake to reach the ground if there were no fence. On a separate page, draw the trajectory of the ball and show thepositions of the ball and its velocity vectors at the origin, maximum height, and final position on the ground. (3T=pts)2vsin (37)T- 2x40x 0. 610T=4.8 sec to tal time to flightt=플 =4.8%3D2t= 2.4 secTime to reach the maximum height is 2.4secHmas = vesin (0)Zgh = vtsin? (37)2.| 40sin(33)1"20h= 40 sin? (37)140x 0.412= 1.220hz 1.2mMaximum heignt is 1.2mThe time to reach the proective on the ground if there were no tence is equal b theflightime of the progectile.T=4.8 sec4.8 sec it would take to reach the ground if there were no fence.

Answered: Image /qna-images/answer/a03b9df0-279e-4d01-b49f-f9bf99cf2dc1.jpg

What is the velocity (magnitude and direction) of the ball at the maximum heigh, and if the fence is 3.50 m tall and 150. m away, how long does it take to reach the fence and how high above the ground is the ball when it reaches the fence? Does the ball clear the fence?

What is the velocity (magnitude and direction) of the ball at the maximum heigh, and if the fence is 3.50 m tall and 150. m away, how long does it take to reach the fence and how high above the ground is the ball when it reaches the fence? Does the ball clear the fence?

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

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 7OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...

See similar textbooks

Similar questions

A projectile is launched on the Earth with a certain initial velocity and moves without air resistance. Another projectile is launched with the same initial velocity on the Moon, where the acceleration due to gravity is one-sixth as large. How does the range of the projectile on the Moon compare with that of the projectile on the Earth? (a) It is one-sixth as large. (b) It is the same. (c) It is 6 times larger. (d) It is 6 times larger. (e) It is 36 times larger.
Use a graphing utility to obtain the path of a projectile launched from the ground (h = 0) at the specified values of θ = 35°, v0 = 300 feet per second. In the exercise, use the graph to determine the maximum height and the time at which the projectile reaches its maximum height. Also use the graph to determine the range of the projectile and the time it hits the ground. Round all answers to the nearest tenth.
A stone is thrown horizontally from the highest point of a 95 m building and lands 115 m from the base of the building. Ignore air resistance, and use a coordinate system whose origin is at the highest point of the building, with positive y upwards and positive x in the direction of the throw. How long is the stone in the air in seconds? What must have been the initial horizontal component of the velocity, in meters per second? What is the vertical component of the velocity just before the stone hits the ground, in meters per second? What is the magnitude of the velocity of the stone just before it hits the ground, in meters per second?
A game requires that two children each throw a ball upward as high as possible from point O and then run horizontally in opposite directions away from O. The child who travels the greater distance before their thrown ball impacts the ground wins. If child A throws a ball upward with a speed of v1 = 59 ft/sec and immediately runs leftward at a constant speed of vA = 14 ft/sec while child B throws the ball upward with a speed of v2 = 56 ft/sec and immediately runs rightward with a constant speed of vB = 16 ft/sec, which child will win the game? Calculate the distances sA and sB that each child travels while the respective ball is in the air.
Let the position vector (with its tail at the origin) of a moving particle be~r(t) = t^(2)ˆi − 2tˆj + (t^(2) + 2t)ˆk, where ~r(t) is measured in meters and t is measured in seconds.(a) Find the acceleration vector and the magnitude of the particle at time t.(b) Find the acceleration vector and the magnitude of the particle when it passes throughthe point (4, -4, 8).
9. A hitter strikes a baseball so that it leaves the bat at speed v0 = 37.0 m/sat an angle θ0 = 53.1°. (a) Find the distance of the ball from the origin and its velocity(magnitude and direction) at t = 2.00 s. (b) Find the time when theball reaches the highest point of its flight, and its height at this time.(c) Find the range of the ball.
the leprechaun in the shamrock patch was named O'Malley and since he was disrupted from sitting in his patch he decided to go off and play a round of his favorite sport in where leprechaun kick a gold coin from a tee into a post 317m away. if he kicked the coin at an angle of 60 degree at a velocity of 60 m/s how high was the arch of the rainbow created by the trajectory? how long did it take to get to the pot? the officials in dublin decided to add a goal post to "kick O coin" 300 meters away and so many 33 meters high. would O'Malley's kick have cleared this goal post?
Jonah is reading a novel that describes an athlete participating in an archery competition. The athlete is 186 cm tall and hits an amazing shot where they fire the arrow completely horizontally and it lands 51 m away from them. 1) neglecting air resistance and drag, what must the initial speed of the arrow be? 2) if the arrow was instead fired at an angle of 45°, how far would it have travelled if it was launched at 187m/s?
For a projectile, which of the following quantities are constant during the flight: x, y, vx , vy , v, ax , ay ? Which of the quantities are zero throughout the flight?
A hitter strikes a baseball so that it leaves the bat at speed v0= 37.0 m/sat an angle θ 0= 53.1°. (a) Find the distance of the ball from the origin and its velocity (magnitude and direction) at t = 2.00 s. (b) Find the time when the ball reaches the highest point of its flight, and its height at this time.(c) Find the range of the ball.
A hitter strikes a baseball so that it leaves the bat at speed v0= 37.0 m/sat an angle θ0= 53.1°. (a) Find the distance of the ball from the origin and its velocity(magnitude and direction) at t = 2.00 s. (b) Find the time when the ball reaches the highest point of its flight, and its height at this time.(c) Find the range of the ball.
If you fire a projectile at various speeds, does this change the time that the projectile is in the air? Explain why or why not?