3. A baseball is hit for a homerun. It leaves the bat at an angle of 60° with a speed 70m/s and travels into the second level of the outfield seats which is 180m horizontally and 60m vertically away from and above home plate. How fast is the ball moving when the fan catches it? Neglect friction.
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- Find the impact velocity of the ball and verify if it is a homerun. Use PARAMETRIC EQUATIONS and make a graph of the trajectory of the ball.Page 6 of 8 6. A projectile is fired at v, = 381.0 at an angle of 9 = 66.0° with respect to the horizontal. Assume that air friction will shorten the range by 32.1%. How far will the projectile travel in the horizontal direction, R?Problem 1 student tries to help some local kids make a tire swing by throwing a rope over a branch, which is difficult because there are two branches (they should pick a different tree). The lower branch is e = 7 m off the ground and upper is d = 1 m above that. The student throws the weighted end of a very light rope with an initial angle of 0 = 70° releasing it underhand at a = 0.5 m firom the ground while standing b = 6 m from the tree. %3D Determine the range of minimum and maximm initial velocities required to get over the lowest limb (B) without hitting the upper branch (C).
- A student fires a cannonball diagonally upwards with an initial speed v at an angle 0 as shown. Determine all unknowns and answer the following questions. Neglect drag and the initial height of the cannonball. Calculate the total flight time (t) and range (r) in each of the following cases. v [m/s] e [º] t [s] r [m] 30.0 40.0 50.0 60.0 60.0 55.0 55.0 55.0 55.0 75.0 00000 0Danielle launches a ball off of a platform of height h with velocity vo at an angle 0 above the horizontal. A wall with a ball-sized hole a height H above the floor, with H > h, is a horizontal distance L = 24.0 m away from Danielle. The difference in height between H and h is one-twelfth of L, and the square of the magnitude of the velocity, v, is three-halves of the product gL. H 1 H – h = h 3 L Determine the two values of 0 that ensure the ball passes through the hole. Submit the larger angle as 0, and the smaller angle as 02.A block (mass = 5.56 kg) is released from rest at the top of a frictionless ramp. 1.01 seconds after release, the block has a speed of 6.34 m/s. Calculate the angle of the ramp in degrees as measured from the horizontal.
- An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the outfielder threw it as shown in the figure, but that the ball's speed after the bounce is one-half of what it was before the bounce. 0 O 0 (a) Assuming the ball is always thrown with the same initial speed, at what angle should the fielder throw the ball to make it go the same distance D with one bounce (blue path) as a ball thrown upward at 45.0° with no bounce (green path)? (b) Determine the ratio of the time interval for the one-bounce throw to the flight time for the no-bounce throw. tone-bounce tno-bounce10. A player throws a baseball upward with an initial velocity of 30ft/sec and catches it with a baseball glove. When will the ball strike the glove? Assume the glove is position in the same elevation when the ball left his hand.A fighter plane moving 211.0 m/s horizontally fires a projectile with speed 47 m/s in a forward direction 30.0° below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground? a) 240 m/s b) 283 m/s c) 253 m/s d) 278 m/s
- 3. A baseball player throws a 145g ball toward home-plate from the out-field. The throw was made at 30.0m/s, 30.0° above horizontal [South]. If the baseball player releases the ball 2.45m above the ground; a. Determine the velocity (speed and direction) at the moment the ball strikes the 'turf (ground). b. Determine the time at which the ball possessed a minimal amount of kinetic c. Determine minimum level of kinetic energy for the ball throughout its flight. | energy.Problem 1 student tries to help some local kids make a tire swing by throwing a rope over a branch, which is difficult because there are two branches (they should pick a different tree). The lower 1 m above that. The student throws the weighted end ofa very light rope with an initial angle of 0 = 70° releasing it underhand at a = 6 m from the tree. A branch is e = 7 m off the ground and upper is d 0.5 m from the ground while standing b Determine the INuge of minimum and maximm initial velocities required to get over the lowest lin:b (B) without hitting the upper branch (C).You aim a rifle horizontally in a perfectly flat field while your friend holds a bullet at the same height as your rifle. You fire the rifle and your friend simply opens her hand simultaneously, allowing the bullet to drop. Your friend claims that both bullets hit the ground at the same moment. Do you agree? Justify your answer. Ignore air resistance.