1. In 1989 during overtime in a high school basketball game in Erie, Pennsylvania, Chris Eddy shot a basketball at a 50.0° angle with a velocity of 15.85 m/s, what was the maximum height of the ball, the total time spent in the air, and horizontal displacement?
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- In 1999, Robbie Knievel was the first to jump the Grand Canyon on a motorcycle. At a narrow part of the canyon (69.0 m wide) and traveling 35.8 m/s off the takeoff ramp, he reached the other side. What was his launch angle?sin(20) where vo is the initial velocity in feet per second and is the angle of elevation. If yo 2300 feet per second and is changed from 13° to 14° use differentials to approximate the change in the range. Round your answer to the nearest integer. The range R of a projectile is R = Select one: Ⓒa. 2811 ft X b. 2593 ft C. 5623 ft d. 4568 ft 5186 ft e. = Incorrect 32A person starts from his home and walks the following distances: i) 1500 yards, 50° N of E ii) 1800 yards, 50° W of N ii) 1000 yards, due south. What direction is the person relative to his home? O 38° S of E O 55° N of W O 42° S of W O 27° E of S O 72° N of W Save for Later Submit Answer W 版 )l ASUS prt sc sysro 18 f12 pause break delete home O/R
- 2. A projectile fired at O follows a parabolic trajectory (Fig. 1), given in parametric form by x= 661 and y= 861 - 4.91 where x and y are measured in meters and t in seconds. Determine: y h 120 m Fig. 1 (a) the acceleration vector throughout the flight, (b) the velocity vector at O, (c) the maximum height h; and the range L.Problem 4: A soccer ball is kicked from ground level across a level soccer field with initial velocity vector vo = 8 m/s at 0= 16° above horizontal. The soccer ball feels wind resistance which causes it to slow horizontally with constant acceleration magnitude a, = 0.54 m/s, while leaving its vertical motion unchanged. Assume any other air resistance is negligible. Choose the positive direction ofx from initial point towards final point of flight. Use a Cartesian coordinate system with the origin at the ball's initial position.In the 1970 National Basketball Association championship, Jerry West made a 60 ft shot from beyond half court to lead the Los Angeles Lakers to an improbable tie at the buzzer with the New York Knicks. Suppose West threw the ball at an angle of 40.0∘ above the horizontal. The basket is 10 ft from the court floor. Neglecting air resistance, estimate the initial speed of the ball. (The Knicks won the game in overtime.)
- show that, the range, R the time of flight, T and the Maximumheight, H by a projectile are respectively given by; R = (v20/g)sin2ϴ , T =(2v0sinϴ)/g and H = (v20sin2ϴ)/2g2. During a baseball practice session, the cutoff man A executes a throw to the third baseman B. If the 90 ft/s initial speed of the baseball is vo = angle O is best if the ball is to arrive at third base at essentially ground level? what В 7' A 150'A 50% Part (a) What is her velocity 2.7 s later in meters per second? sin() cos() tan() 9 cotan() asin() acos() 4. 6. atan() acotan() sinh() 1 2. 3. cosh() O Degrees O Radians tanh() cotanh() 0.
- 1 ) A ball kicked from ground level at an initial velocity of 69 m/s and an angle θ with ground reaches a horizontal distance of 150 meters. a) What is the size of angle θ? b) What is time of flight of the ball?2/65 Prove the well-known result that, for a given launch speed vo, the launch angle 0 = 45° yields the maxi- mum horizontal range R. Determine the maximum range. (Note that this result does not hold when aerodynamic drag is included in the analysis.) Answers: Rmax %3DGiven a parametric parabolic trajectory of x = 56t and y = 76t - 4.9t where x and y are measured in meters and t is measured in seconds. 120 m Determine the following 1) the vector of acceleration during the flight, 2) the vector of velocity at O 3) the maximum height h and the range L.