A projectile is launched from point A with the initial conditions shown in the figure. Determine the slant distances which locates the point B of impact. Calculate the time of flight t. tb = 127 m/s A 9=35° Answers: t= i 605 m- 16 m S B
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- A boat travels a distance of 220m (E 40° N] and then rounds a buoy (turning point) and travels a distance of 360m [N 30° W] to final destination. The trip took 22s. Determine the displacement and velocity of the boat. Include a rough diagramWhat kinematic equation/s would you use to help calculate the range of a projectile launched horizontally, and what variables from these equations must you know to accurately calculate range?A person kicks a ball off a cliff with a velocity of 20 m/s, 30o from the horizontal. It takes 20 seconds to hit the ground, 1. Find the height of the cliff. 2. Find the final vertical velocity of the ball just before it hits the ground. 3. Find the total horizontal range travelled by the ball. 4. Find the magnitude of the final velocity of the ball just before it hits the ground. 5. Find the direction of the final velocity of the ball just before it hits the ground.
- A cannon shoots a a large cannonball. The cannonball has a intital speed of 125 m/s. If the elevation angle was 32., what is the horizontal distance that the cannonball travel?Table 1. Shot velocity (V) of the projectile at an angle of 30. Two shots were made for each distance. Column 1 and 2 correspond to the throw from 1 meter away. To determine the velocity of fire of the projectile on the x-axis, use the equation: Vxo = Vo * cos 30°.A ball is thrown at an initial height of 65 feet at an initial velocity of 75 feet/second at an angle of 65 degrees. Given the parametric equations yY = - - 16t + Vo · Sin(0)t + ho and x = Vo Cos(0)t. When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 3 seconds? feet. seconds. b. When will the object hit the ground? feet. c. How far horizontally will the ball be when it hits the ground? seconds. d. When will the ball be at its maximum height? e. What is the ball's maximum height? feet. feet f. How far horizontally will the ball be when it reaches its maximum height?
- An archer fires an arrow from a height of 1.80 m with a velocity of 25.4 m/s, 41.0° above the horizontal. a. Find the maximum height the arrow will reach. b. Find the distance from the archer's feet where the arrow will hit the ground. c. Determine the angle at which the arrow will hit the ground.Now assume that the projectile is launched from a height of H = 0.16 m above the table at an angle of 68°. Its launch speed is v₁ = 3.21 m/s. Calculate the range R, i. e. the horizontal distance from launch to impact. Use g = 9.81 m/s². Enter your answer in meters without the unit. projectile launcher Viy Vi 0 Vix H R-Vo 30° M. 10 m 10 m 20 m Find the following when the projectile is at point M. 1) Total time in flight (from launch to point M) 2) Height above the ground (Dy) (Pick ground level at launch point) 3) The velocity at point M (note in a projectile the velocity is tangent to the point and will be a 2-D answer..i.e. draw a triangle for velocity with x and y components
- Vo 30° 10 m 10 m 20 m Find the following when the projectile is at point M. 1) Total time in flight (from launch to point M) 2) Height above the ground (Dy) (Pick ground level at launch point) 3) The velocity at point M (note in a projectile the velocity is tangent to the point and will be a 2-D answer.i.e. draw a triangle for velocity with x and y components MNA projectile is launched from point O at an angle of 22° with an initial velocity of 15 m/s up an incline plane that makes an angle of 10° with the horizontal. The projectile hits the incline plane at point M. a) Find the time it takes for the projectile to hit the incline plane. b)Find the distance OM. Vo, 22° M 10° I.A projectile shot an angle of 60o above the horizontal strikes a building 30 m away at a point 15 m above the point of projection. a. Find the initial velocity of the projectile, the velocity with which it is projected. b. Find the magnitude and direction of the velocity of the projectile just before it strikes the building.