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?
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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?
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- a projectile is launched at an angle of 35 degrees with an initial velocity of 780 ft/s from the ground. a) what is the velocity at t=3s b) what is the total time of flight? c) what is the horizontal distance from the origin when projectile is at it's maximum height?The exit velocity of a baseball (its velocity as it leaves the bat) is 128 feet per second, in the direction of 30 above horizontal and directly towards the monster 30 fcot tall center field wall. If the ball was hit 4 feet above ground level, find a) Parametric equations that model the trajectory of the baseball, b) The maximum height of the baseball's fiight, c) If the center field fence is 400 feet from home plate is this a home run? d) What is the impact velocity of the ball? =) Sketch a graph representing the trajectory of the ball.1) A dog. initially at position 2.8 m [W] of its owner, runs to retrieve a stick that is 12.6 m [E] of its owne. a) Draw an illustration showing the position and displacement vectors in this situation. b) Determine the displacement the dog needs to reach the stick. 2) The table below gives the position-time data of a ball that has left a bowler's hand and is rolling forward. Detemine the displacement between the following times: (Please refer to the photo) 3) A motorcycle took only 6.0 seconds to go from rest to 78 m/s (2.8 x 102 km/hr), earning the world record for motorcycle acceleration. Calculate the magnitude of the record average acceleration in m/s2
- Projectile Motion The position of a projectile fired with an nitial velocity va feet per second and at an angle 0 to the norizontal at the end of t seconds is given by the parametric quations x = (Vo cos 0)t y = (vo sin 0)t – 16r² See the illustration. R a) Obtain the rectangular equation of the trajectory, and identify the curve. b) Show that the projectile hits the ground (y = 0) when Vo sin 0. 16 c) How far has the projectile traveled (horizontally) when it strikes the ground? In other words, find the range R. d) Find the time t when x = y. Next find the horizontal distance x and the vertical distance y traveled by the projectile in this time. Then compute Vr? + y². This is the distance R, the range, that the projectile travels up a plane inclined at 45° to the horizontal (x = y). See the following illustration. (See also Problem 99 in Section 76.) 45A volcano shoots a lava bomb straight upward. Does the displacement of the lava bomb depend on (a) your choice of origin foryour coordinate system, or (b) your choice of a positive direction?Explain in each case.A fired a cannon ball with a speed of 18.5 m/s at an angle of 70.0° above the horizon. 1) What's the balls max height above the cannon? 2)how much time does it take for the ball to reach that maximum height?
- Directions: Solve the following problem about projectile motion. Use GRESA method. note: please thoroughly explain your answer and do not forget to follow the GRESA (Given, Required, Equation, Solution, Answer)! thank you Problem: A long jumper leaves the ground with an initial velocity of 12 m/s at an angle of 28o above the horizontal. Determine the time of flight, the horizontal distance, and the peak height of the long-jumper.Find the following for path A in the Figure, measuring the displacementsfrom the back of the arrow, indicated by a dot, to the arrow's head. Round to the nearest integer. a. The distance traveled in meters. b. The magnitude of the displacement from start to finish in meters.Given, position vector of a particle, r(t) = 2t i. Which of the following statements is/are true? All of the above. Magnitude of acceleration is linearly proportional to t. The speed of the particle varies with the time linearly. Direction of velocity changes with the O time but direction of acceleration does not change with the time.
- 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.A projectile is launched from ground level to the top of a cliff which is 100 meters away and 70 meters high. If the projectile lands on top of the cliff 3.0 seconds after it is fired, find the initial velocity of the projectile and the angle at which it is launched. Neglect air resistance. Include an diagram, known values, and implied values so i can better understand please.Task II:A girl throws a set of keys vertically upward to her sister in a window that is 6 m above the ground. The keys arecaught 2s later by the sister, if the girl is 1.5 m tall,d. Assume a reasonable magnitude for the displacemente. With what initial velocity the keys are thrownf. What was the velocity of the keys just before they were caught.