Question
Ball A is thrown upward at a speed of 2 ft/s at the same time that ball B is launched at an angle of 30 degrees. If ball A and ball B collide at the apex of ball B’s path, 25 ft above point A, determine:
A) the initial speed of ball B
B) how far ball B will travel before landing at the same elevation from which it was launched
C) the relative velocity of ball B with respect to ball A
Expert Solution
arrow_forward
Step 1
Solution:
Let u be the initial speed of the ball. Then its x and y velocity willl be,
At maximum height, the y velocity becomes zero.
Step by stepSolved in 3 steps
Knowledge Booster
Similar questions
- a) If Billy-Joe kicks a stone with a horizontal velocity of 3.50 m/s, and it lands in the water a horizontal distance of 5.40 m from where Billy-Joe is standing, what is the height of the bridge? b) If the stone had been kicked harder, how would this affect the time it would take to fall?arrow_forwardTwo carts have velocities vand v, respectively. At t = 0 the distance between the two carts were zero. A passenger in cart A wants to throw a ball to cart B. The ball's initial speed with respect to cart A is vo. (a) What angle should the projectile have to reach cart 2? (b) What will be the projectile's speed at maximum height with respect to cart A, cart B, and the ground respectively? A UA B VBarrow_forward5) A ball is bounced off the ground directly south, with an initial velocity of 12 m/s from the ground, with an angle of elevation of 60 degrees. If the wind is blowing such that the ball has a constant acceleration of 3 m/s² to the west, where does the ball land relative to where it was bounced from? Set up the acceleration, velocity, and position vector functions to solve this problem.arrow_forward
- For a projectile lunched with an initial velocity of v0 at an angle of θ (between 0 and 90o) , a) derive the general expression for maximum height hmax and the horizontal range R. b) For what value of θ gives the highest maximum height? Solution The components of v0 are expressed as follows: vinitial-x = v0cos(θ) vinitial-y = v0sin(θ)arrow_forwardProblem 5: A ball is thrown horizontally from the top of a 70 m building and it lands 90 m from the base of the building. a) How long is the ball in the air? b) What must have been the initial speed of the ball? c) What is the vertical component of the ball's velocity just before it hits the ground? d) What is the ball's speed just before it hits the ground?arrow_forwardA soccer ball is kicked with an initial horizontal velocity of 18 m/s and an initial vertical velocity of 13 m/s. 1) What is the initial speed of the ball? 2) What is the initial angle ? of the ball with respect to the ground? 3) What is the maximum height the ball goes above the ground? 4) How far from where it was kicked will the ball land?arrow_forward
arrow_back_ios
arrow_forward_ios