Learning Goal:A rock thrown with speed 8.50 m/s and launch angle 30.0° (above the horizontal)travels a horizontal distance of d = 19.0 m before hitting the ground. From whatheight was the rock thrown? Use the value g = 9.800 m/s² for the free-fallacceleration.PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problemsMODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle, the initial velocitycomponents are vix vocos and viy vosine.==SOLVE: The acceleration is known: ax=0 and ay= -g. Thus, the problem becomes one of two-dimensional kinematics. The kinematic equations areHorizontalxf = X₁ + Vix AtVfx= Vix = constantVerticalYf = Yi + Viyt - 19(At) ²,=Vfy Viy - gatAt is the same for the horizontal and vertical components of the motion. Find At from one component, and then use that value for the other component.REVIEW: Check that your result has the correct units and significant figures, is reasonable, and answers the question.ModelStart by making simplifying assumptions: Model the rock as a particle in free fall. You can ignore air resistance because the rock is a relatively heavy object moving relatively slowly. Which diagram represents an accurate sketch of the rock's trajectory?View Available Hint(s)оkU₁15151818dUfUfUfU₁

Answered: Image /qna-images/answer/1fb6865d-a56f-4501-b8a5-5b84055c13f0.jpg

Answered: Which diagram represents an accurate…

Which diagram represents an accurate sketch of the rock's trajectory? View Available Hint(s) о k U₁ 15 15 18 18 d Uf to Uf U₁

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 99CP: World’s Longest Par 3. The tee of the world’s longest par 3 sits atop South Africa’s Hanglip...

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The motion of a projectile may be described in terms of range and the maximum height it reaches. But what affects these kinematic quantities? Below is a figure of the height and range covered by a projectile launched bat the same initial velocity but at different angles. Questions: 1. How do you describe the range covered by the projectile at different projection angles? 2. At what angle/s does it reach the farthest? the nearest? 3. Whatr angles cover the same range? what do you call these angles?
Launching downhill An ideal projectile is launched straight down an inclined plane as shown in the accompanying figure. a. Show that the greatest downhill range is achieved when the initial velocity vector bisects angle AOR.b. If the projectile were fired uphill instead of down, what launch angle would maximize its range? Give reasons for your answer.
1.For which angle is the height H of the projectile maximum? 2.Determine maximum Range from R vs θ graph (Insert the graph here). For which angle is the range R of the projectile greatest? (Well, this one cannot be answered in a single sentence in case you’re wondering) 3.For which angle is the flight time Tf of the projectile greatest? 4.Will the angle at which the projectile has the maximum height change with velocity? (Play with the simulation and find the answer if you cannot answer it theoretically) 5. Will the mass of the projectile have any effect on the maximum height reached, provided the initial velocity remains constant?
90°. For example, ng an object thrown at an angle of 60° will have the same range as if it were thrown at an angle of 30°. to Big Idea Everything that moves toward the ground undergoes projectile motion. What Have I Learned So Far? Answer the following problems. Write your answers on a separate sheet of paper. 1. Consider a basketball that rolls off the horizontal surface of a table with a speed of 0.5 m/s and hits the floor after 0.530 s. Assume that there is no air resistance in this scenario. Molaz How tall is the table with respect to the floor? cipent How far did the basketball land with respect to the base of the table? a. b. y ther C. Solve for the horizontal and vertical components of the velocity of the ball just before it hit the floor. neile 2. Dodoy is a professional stuntman who has to jump from a cliff. What should his minimum speed be as he leaps from the edge of the cliff so that he will land on a soft cushion below which is 15.0 m from the base of the cliff? on gruvorn…
World’s Longest Par 3. The tee of the world’s longest par 3 sits atop South Africa’s Hanglip Mountain at 400.0 m above the green and can only be reached by helicopter. The horizontal distance to the green is 359.0 in. Neglect air resistance and answer the following questions. (a) If a golfer launches a shot that is 40 with respect to the horizontal, what initial velocity must she give the ball? (b) What is the time to reach the green?
Directions: Analyze the scenario. Then answer the following questions with Fact or Bluff. Write Fact if the statement is correct or Bluff if it is not. For projectile motion on level ground assuming negligible air resistance (the initial angle being neither 0 nor 90 degree). 1. The velocity of an object in horizontal motion is zero. 2. The acceleration of an object in horizontal motion is constant. 3. The velocity of an object in vertical motion is constant. 4. The acceleration of an object in vertical motion is constant. 5. The range or displacement of an object is dependent on the angle and initial velocity. 6. The velocity of an object when reach the highest point in trajectory is zero. 7. The acceleration of an object as it goes down is increasing. 8. The velocity of an object as it reaches the end point of its range is increasing. 9. If the initial speed is the same in every thrown there is different altitudes and ranges as a result. 10. The horizontal displacement…
You fire a ball with an initial speed V0 at an angle (ϕ) above the surface of an incline, which is itself inclined at an angle (θ) above the horizontal (Figure below). a. Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. b. What angle ϕ gives the maximum range, measured along the incline? Ignore air resistance. c. Since there's no air resistance, this is a problem in projectile motion. The goal is to find the point where the ball's parabolic trajectory intersects the incline. It is best to choose the x-axis to be horizontal and direct to the right, the y-axis to be vertical and direct to the up, and the origin to be at the point where the ball is fired. In the projectile equations, the launch angle α0 is measured from the horizontal. What is this angle in terms of (θ) and (ϕ)?
A projectile is fired at an angle of 45° from the horizontal, as in figure below .the initial velocity of the projectile is 250 m/s. Determine: 1-The maximum height of the projectile...2-The horizontal range R 80 m 60 m R
A student has a cannon that can fire a cannonball at speeds up to 73.0mph. The students wants to determine the maximum range of the cannon and if she could hit a target on the ground as shown. Neglect drag and the initial height of the cannonball. At what angle should the cannonball be fired to achieve maximum range? When fired at this angle, how long will the cannonball remain in the air? What is the cannon's maximum range? m If the student adjusted the angle of the cannon, could the cannon hit a target located 100m from the cannon (measured along the ground)? yes v check answers cannot be determined /positiveskill?skilliD=70&unitID=10&type=assessmentcorrections# Chp
Question A5 A projectile is thrown from the ground with a speed of 30 m-s¹ at an angle of 35° from the horizontal. Calculate the height of the projectile from the ground when its speed is 18 m-s-¹. Ignore air resistance.
A stone is thrown from the top of a building upward at an angle of 26.0° to the horizontal with an initial speed of 19.1 m/s as shown in the figure. The height of the building is 45.0 m. The following questions present a twist on the scenario above to test your understanding. Suppose another stone is thrown horizontally from the same building. If it strikes the ground 65 m away, find the following values. FOUND: a. Time of flight = 3.03 s b. Initial speed = 21.45 m/s c. Speed & angle with respect to the horizontal of the velocity vector at impact: 36.62 m/s 54.15° If the stone were thrown harder, and left with 1.5 times the initial speed, you might expect it to go further, but how exactly does that happen? d. Throwing the stone horizontally at 1.5 times the previous speed multiplies the time to reach the ground by what factor? ________ e. The horizontal component of the velocity is multiplied by what factor? ________ f. How many times farther does the stone land from the building?
Isabella has just skied down a steep slope and is gliding across level snow at 12 m/s when she approaches a 3.0° incline packed with very slippery snow. How high up the incline does she glide before stopping? Figure Xo, Vox, to 0 0 XI, VIxsti h Submit ✓ Correct Part E It's best to use a tilted x-axis for an inclined-plane problem. The incomplete pictorial representation shown in (Figure 1) has drawn Isabella at the beginning and at the end of the motion and has identified three kinematic variables associated with each point. There's also a symbol for the angle of the slope and for the height she reaches. Which of these variables do you know (1) from the problem statement, (2) from a reasonable interpretation of what's happening in the problem, or (3) from how we usually lay out coordinate systems in physics problems? Π 20 02₁ Oto Ot₁ Voz VIZ Previous Answers по Oh Submit Previous Answers Request Answer X Incorrect; Try Again; One attempt remaining Part F Complete previous part(s) Part…