You hit a golf ball into the air with an initial horizontal speed of 30 m/s and an initial vertical upward speed of 40 m/s. Neglect air resistance. 3. Find the maximum vertical displacement of the ball. 4. Find the horizontal displacement when the ball is at its maximum vertical displacement. 5. Find the speed of the ball when it is at its maximum vertical displacement.
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- Consider the frictionless water slide in the figure below. h₁ h₂ 1. If a 12.00kg dog starts from rest and slides down the water slide and has a velocity of 2.00 in the horizontal direction at point A, determine the height h₁ of the slide. m S m 2. If the bottom of the slide (point A) is 5.00m above the water level, how far horizontally does the dog travel between point A and when it reaches the water at point B? m оо B 3. How would increasing the mass of the dog impact your calculations above? It would result in the height of the slide being greater It would result in the height of the slide being less Equal Less than It would result in the dog's horizontal distance being greater It would result in the dog's horizontal distance being less It wouldn't impact any of the calculations 4. If the slide had friction, would the dog's velocity at point A be greater than, less than, or equal to the velocity without friction? Greater thanA ball is thrown at an original speed of 8.0 m/s at an angle of 35 degrees above the horizontal. What is the speed of the ball when it returns to the same horizontal level? A) 4.0 m/s B) 8.0 m/s 16 m/s D) 9.8 m/sI I6 PART B A player hits a tennis ball into the air with a velocity of 10 m/s at an angle of 60° to the horizontal. i) What was the initial horizontal velocity of the ball? i) What was the initial vertical velocity of the ball? (g = 9.8 m/s) U = initial velocity: Ux initial horizontal velocity Uy = initial vertical velocity Note: Ux = Ucose Uy = Usine %3D 9ME
- If you throw a ball with an initial horizontal velocity of 20 m/s and an initial vertical velocity of 40 m/s. a. What will be the vertical displacement after 3 seconds? b. What will be the horizontal displacement after 3 seconds? c. What will be the vertical velocity after 3 seconds? d. What will be the horizontal velocity after 3 seconds?A major leaguer hits a baseball so that it leaves the bat at a speed of 30.0 m/s and at an angle of 36.9° above the horizontal. You can ignore air resistance. A) At what two times is the baseball at a height of 10.0 m above the point at which it left the bat? B) Calculate the horizontal and vertical components of the baseball’s velocity at each of the two times calculated in part (a). C) What is the magnitude and direction of the baseball’s velocity when it returns to the level at which it left the bat?. A 3.0kg cannon ball is shot from a cannon at a speed of 20m/s. The cannon is oriented50 degrees above the horizontal and the cannon’s barrel is 8.0m above the ground. Youwant to position a mat that will catch the cannon ball.a. Determine how much time the cannon ball will spend in flight.b. Draw a force diagram for three points during the cannon ball’s flight (1) while itis being shot from the cannon, (2) when it is at its maximum height, and (3) whenit is half-way between the maximum height and the mat.c. Determine the horizontal distance from the end of the barrel where you shouldplace the mat so that it will catch the ball.d. How fast is the cannon ball moving just before it hits the mat?
- Recall that the Range equation gives the horizontal distance a projectile can be launched. Suppose there is a slight breeze so that the range equation is modified in the following way: R(0) : = sin(20) – 0.900 R Part A Use Calculus to determine the angle (in degrees) at which the projectile will reach its maximum range. ? Omazm L 4. A box with a mass m = 0.4 kg is released from rest at the top of a curved section of a track that is one quarter of a circle with a radius R = 0.2m. When the box reaches the bottom of the curved track it slides on a horizontal section of the track. There is no friction on the curved section of the track. a. Find the velocity of the box at the bottom of the curved section of the track. b. Find the normal force on the block when it is at the bottom of the circular section of the ramp. If there is a Resistive force F on the horizontal section of the track and is given as a function of speed by F=-4v² c. Write down the differential equation for the speed of the block. 1 d. Show that the solution can be written as: v = 0.5 + 10t13. A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h₁. After the bottom of this hill there is a small "jump" hill. The top of the jump has height h, and a curvature of radius R. What is the minimum height of the starting hill, himin, so that the skier/snowboarder jumps or "catches air" at the top of hill 2? Solve for himin in terms of h₂, R, and g. Hint: if the skier/snowboarder jumps, he/she/they loose contact with the snowy ground. h₁ to jump!
- 143. A satellite is launched from the surface of the earth at the initial speed of 8 km/s. How high will it go before it stops and starts falling back to the earth?1.) A projectile is fired from the top of a cliff 100m high with a velocity of 450 m/s directed at 45 degrees to the horizontal. Based from this problem, wow high the projectile will rise? a. none b. 5,604.442m c. 4,840.246m d. 6,004.008m e. 5,160.550m 2.) Three forces, F1=2Ni+3Nj, F2=-10Nj and F3=3Ni+1Nj-5Nk, act on a particle. Find the net force on the particle. a. 5Ni−6Nj−5Nk b. 5Ni+6Nj+5Nk c. 5Ni+6Nj−5Nk d. 5Ni−6Nj+5Nk