8. You fire a ball with an initial speed of vo at an angle o above the surface of an incline, which is itself inclined at an angle 6 above the horizontal. a) Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline.
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- 7. A bullet is fired downward at an angle of 30° below the horizontal. 3.20 seconds later, the bullet hits a target that is 120 m horizontally to the right of the starting point. Let x direction be to the right and y direction point upward. a) Find vox, the x-component of the initial velocity of the bullet. b) Find the y-component of the initial velocity of the bullet. Voy,An airplane is flying at a speed of 2.00 × 102 m/s in level flight at an altitude of 8.00 × 102 m. A package is to be dropped from the airplane to land on a target on the ground. Ignore air resistance. (I already understnd how to do part A and B, I need help with part c only, please) (a) At what horizontal distance away from the target should the package be released so that it lands on the target? (b) In what direction relative to the horizontal will the package be traveling when it hits the ground? (c) Where is the plane when the package reaches the target?Please don't provide handwritten solution....
- 5. A projectile is launched from point O at an angle of 22 degrees with an initial velocity of 15m/s up an incline plane that makes an angle of 10 degrees with the horizontal. The projectile hits the incline plane at point P. Find the time it takes for the projectile to hit the incline plane and find the distance OP.a projectile is fired from the origin at t 0 with a positive v component, the maximum Hight h can be reached when e equal to a) e = 0, b) e = 90, C) = 45, d) e = 180 y YA = 0 B R a dA fireworks show is choreographed to have two shells cross paths at a height of 138 feet and explode at an apex of 180 feet under normal weather conditions. If the shells have a launch angle 9 = 61° above the horizontal, determine the common launch speed n for the shells, the separation distance dbetween the launch points A and B. and the time tfrom launch at which the shells explode. Determine the time t; from launch to when the paths cross. 42' 138' Vo e B d- Answer: t = sec
- 1. Given the vectors M = -10āx + 4ã, – 8ả, and Ñ = 8å, + 7ã, – 2ã,, find: a. A unit vector in the direction of -M + 2Ñ b. The magnitude of 5å, + N – 3M c. M||2Ñ|(M + N)2. A projectile is fired at 12.5 m/s at an angle of 53.1° with the horizontal from a point 75.0 m above the ground. a) What maximum height does it reach? b) with what velocity does it strike the ground?projectile is fired at vo = 407.0 m/s at an angle of = 67.8° with respect to the horizontal. ssuming no air resistance, what is the range R of me projectile? R = m
- A projectile is launched off of a 10.0 meter high roof with an initial velocity of 29.0 m/s in a direction that makes a 38.0° angle with thehorizontal.What are the x and y components of its initialvelocity? a)Whatis the object’s maximum height relative to groundlevel? Answers: a) 22.85 m/s and 17.85 m/sA projectile is fired from the ground (you can assume the initial height is the same as the ground) in a field so there are no obstacles in its way. It is fired at an angle of 37 degrees with respect to the horizontal and with an initial speed of 36 m/s. Air resistance is negligible in this situation. Call up the positive y direction, and toward the wall the positive x direction. Maximum height the projectile reaches: 23.948m Projectile speed at max height: 28.751m/s Earliest time when the height of the projectile is half of its maximum value: 0.648s The projectile is fired toward a wall that is a horizontal distance 106.6m from where the projectile was fired. What was the height of the projectile when it hit the wall?A football is hit at an angle of 40.0 degrees with the horizontal with a velocity of 130.0 ft/s. find: g) the final velocity when the ball touched the ground? h) the velocity of the ball when it reached the maximum height.