Problem 21: An archer fires an arrow straight up into the air with a speed vo= 34.6 m/s. Neglect air resistance. In the drawing, for purposes of visualization, the trajectory of the arrow has been give a small horizontal width.
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- A batter hits the baseball A with an initial velocity of vo = 91 ft/sec directly toward fielder B at an angle of 38° to the horizontal; the initial position of the ball is 2.4 ft above ground level. Fielder B requires 0.24 sec to judge where the ball should be caught and begins moving to that position with constant speed. Because of great experience, fielder B chooses his running speed so that he arrives at the "catch position" simultaneously with the baseball. The catch position is the field location at which the ball altitude is 7.9 ft. Determine the velocity of the ball relative to the fielder at the instant the catch is made. Vo 438° 2.4' Answer: VA/B = (i 204' B i+ i Next question j) ft/secDuring the battle of Bunker Hill, Colonel William Prescott ordered the American Army to bombard the British Army camped near Boston. The projectiles had an initial velocity of 43 m/s at 33° above the horizon and an initial position that was 36 m higher than where they hit the ground. How far did the projectiles move horizontally before they hit the ground? Ignore air resistance.I need to solve v(sub y)=v(sub 0)sin θ(sub 0)-gt to find the time that it takes the projectile to reach maximum height (so I believe I'm solving for t?). I have previously found v(sub 0y) in part (a), but I'm unsure what v(sub 0) and v(sub y) are. How do I find those variables?
- In a basketball game, the point guard A intends to throw a pass to the shooting guard B, who is breaking toward the basket at a constant speed of 10 ft/sec. If the shooting guard is to catch the ball at a height of 6.6 ft at C while in full stride to execute a layup, determine the speed vo and launch angle with which the point guard should throw the ball. A Answers: Vo = VO 0 = 0 i i 5.5' 43' 10 ft/sec B ft/sec O 25' 6.6'For safety reasons, park rangers decide to start an avalanche on a mountain slope. They fire an artillery shell at an angle of 520 above the horizontal with an initial speed of 295 m/s. Thirty seconds later they see the explosion. What is the x coordinates of the shell where it explodes, relative to the firing point?-b+√b²-4ac 2a x = x₂ + V₁xt + ²axt², V₁₁x = V₁x + axt, (v₁₁x)² = (v₁x)² + 2axx, t == у = V₁ + V₁¸yt + ² α¸t², Vf₁y = V₁y+āÿt, (Vƒ‚y)² = (v₁y)² + 2a,ÿ
- 1. Vivian is practicing her shooting accuracy with her slingshot by trying to shoot rubber balls into a bucket on the ground. For one particular shot for which the ball lands in the bucket, she fired her slingshot horizontally with an initial speed of 56.0 m/s at a height of 170 cm above the ground. (a) How far away is Vivian standing from the bucket? (b) What are the magnitude and direction of the ball's velocity when it lands in the bucket? Note: Please be mindful of significant figures. Also, you can assume that when the balls land in the bucket, they are on the ground.A squirrel runs along an overhead telephone wire that stretches from the top of one pole to the next. It is initially at position x: = 2.01 m, as measured from the center of the wire segment. It then undergoes a displacement of Ax = -6.// m. What is the ' sauirrel's final position xe?IT.0.0a Given an acceleration vector, initial velocity (uo.Vo), and initial position {xo.yo}, find the velocity and position vectors for t2 0. a(t) = (cos t,5 sin t. (Uo Vo) = (0,5) , (Xo.Yo) = (2.0) What is the velc | vector? v(t) =
- The captain of a small plane starts his journey by proceeding east. The speed of the plane with respect to still air is160 km/h. A sudden north wind starts to blow at a constant speed of 71.0 km/h. As seen by people on the ground, what is the angle made between the direction of motion of the plane with repectto the east?Spitting cobras can defend themselves by squeezing muscles around their venom glands to squirt venom at an attacker. Suppose a spitting cobra rears up to a height of 0.440 m above the ground and launches venom at 3.70 m/s, directed 39.0° above the horizon. Neglecting air resistance, find the horizontal distance (in m) traveled by the venom before it hits the groundHeddy practices with first her bow and arrow. She hopes that her first arrow will hit the center of a target which is located at a horizontal distance of 7.00 m from the arrow's launch point. The target's center is located 1.50 m above the ground. Heddy shoots her first arrow with a launch velocity of 12.0 m/s directed 20 degrees above the horizontal. At the instant of its launch, the arrow is located 1.00 m above the ground, as shown in the figure. In the following, treat the arrow as a point particle (or a ball which has been pitched). In the following, assume that air resistance is negligible and that g=9.80 m/ 2. Target I 0.500 m I 0.500 m Target's 20 center 1.50 m 1.00 m 7.00 m 18. How much time would it take the arrow to travel a horizontal distance of 7.00 m? A. 0.583 s. В. 1.71 s. C. 0.869 s. D. 0.621 s. E. 0.419 s. 19. Which one of the following statements is correct? A. The arrow hits the ground before reaching the target. B. The arrow hits the target, 0.35 m above the…