Consider the following data for the table below: • Projection Angle = 44.4° • Range (Trial 1) = 1.06 m • Range (Trial 2) = 1.07 m Range (Trial 3) = 1.1 m ● Projection Angle (°) Trial 1 What is the initial speed of the ball in (B)? O 2.75 m/s O 3.25 m/s O 4.64 m/s O 3.88 m/s Motion of Projectile on a Level Surface Range (m) Trial 2 Trial 3 Average (A) Initial Speed (m/s) (B) Maximum Height (cm) (C)
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- Read and analyze the problem below then solve. Show a complete solution with illustration. 1. The range R of a projectile fired at an acute angle e with the horizontal and with an initial velocity of v meters per second is given by R=V²/g sin20 where g is the acceleration due to gravity, which is 9.81 m/sec² near the Earth's surface. An archer targets an object 100 meters away from her position. If she positions her arrow at an angle of 32° and releases the arrow at the speed of 30 m/sec. will she hit her target? (Show your calculations.)Explain how to find the range of a projectile projected horizontally from a top of a building with an initial velocity (make up your own initial velocity). First, use the kinematic formula for finding the time it takes to hit the target, delta y = (1/2) gt^2 . Then use the equation R = Vx * t to find the range. Explain pleaseWhy does basket-ball motion show projectile motion, explain? What is acceleration in X and Y direction during projectile motion? Does final and initial velocity in X direction change during projectile motion, why or why not, explain?
- According to the Guinness Book of World Records the longest home run evermeasured was hit by Roy “Dizzy” Carlyle in a minor league game. The ball travelled188 m (618 ft) before landing on the ground outside the ballpark. (a) Assuming theball’s initial velocity was in the direction of 450 above the horizontal and ignoringresistance, what did the initial speed of the ball need to be to produce such a homerun if the ball was hit in a point 0.9 m above ground level? Assume that the groundwas perfectly flat. (b) How far would the ball be above a fence 3.0 m high the fencewas 116 m from home plate?When a projectile is at the top/apex of its motion, how are the velocity, , and acceleration, , vectors related? Explain. What direction is each vector pointed at the apex?Please don't provide handwritten solution.... An artillery shell is fired with an initial velocity of 300 m/s at 47.5° above the horizontal. To clear an avalanche, it explodes on a mountainside 44.0 s after firing. What are the x- and y-coordinates of the shell where it explodes, relative to its firing point? x = m y = m
- 1 Two projectiles are launched from the same point at the sameangle above the horizontal. Projectile 1 reaches a maximumheight twice that of projectile 2. What is the ratio of the initialspeed of projectile 1 to the initial speed of projectile 2? Graph and Explain.Two students air on a balcony a distance h above the street. One student throws a ball vertically down-ward at a speed v0; at the same time, the other student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of v0, g, h, and t. (a) Write the kinematic equation for the y-coordinate of each ball, (b) Set the equations found in part (a) equal to height 0 and solve each for t symbolically using the quadratic formula. What is the difference in the two balls' time in the air? (c) Use the time-independent kinematics equation to find the velocity of each ball as it strikes the ground, (d) How far apart are the balls at a time t after they are released and before the strike the ground?Water leaves a Firemans hose (held near the ground) With an initial velocity vo=20.5 m/s at an angle theta= 31 degrees above horizontal. I assume the water acts as a projectile that moves without air resistance. Use a Cartisian coordinate system with the origin at the hose nozzle position. (A) using vo, theta, and g, write an expression for the time, tmax, The water travels to reach its maximum vertical height. (B) at what horizontal distance d From the building base, where should the firemen place the holes for the water to reach its maximum height as it strikes the building? Expressed a distance, D, in terms of vo, theta, and g. 
- Show complete solution A ball is thrown following a projectile motion. It is known that the horizontal distance (range) the ball can travel is given by R=v02gsin 2θ , where r is the range (in feet), v0 is the initial speed (in ft/s), θ is the angle of elevation the ball is thrown, and g=32 ft/s2 is the acceleration due to gravity. a. Express the new range in terms of the original range when an angle (0< θ<45°) is doubled. b. If a ball travels a horizontal distance of 20 ft when kicked at an angle ofwith initial speed of ft/s, find the horizontal distance it can travel when you double .Hint: use result of item (a).Solve the following Problem using the Horizontal Projection Equation. An archer shoots an arrow horizontally at a target 15 m away. The arrow is aimed directly at the center of the target but it hits 25 cm lower. What is the initial velocity of the arrow? A firefighter jumps out of the window into a net. If the window is 25 m above the net, (a.) At what speed does the firefighter hit the net? (b.) How long will it take the firefighter to hit the net? A little girl throws her jackstone ball horizontally out of the window with a velocity of 30 m/s. If the window is 3 m above the ground. How far will the ball travel before it hits the ground?Emily challenges her husband, David, to catch a 1$ bill as follows. She holds the bill vertically as in the figure below, with the center of the bill between David’s index finger and thumb. David must catch the bill after Emily releases it without moving his hand downward. If his reaction time is 0.2? will he succeed? Explain your reasoning.