The quarterback Q throws the football when the receiver R is in the position shown. The receiver’s velocity is constant at 8.4 yd/sec, and he catches passes when the ball is 7.7 ft above the ground. If the quarterback desires the receiver to catch the ball 3.1 sec after the launch instant shown, determine the initial speed v0 and angle θ required

A lizard kicks a ball with an initial velocity of 10 m/s at an angle of 35º with the horizontal. What is the maximum height of the ball?

The maximum horizontal distance a boy can throw a ball is 50 m. Assume he can throw with the same initial speed at all angles. How high does he throw the ball when he throws it straight upward?

A projectile's launch speed is 6.30 times its speed at maximum height. Find the launch angle θ0.

Engineering dynamics. Don't use Artificial intelligence tools.

The initial speed of a tennis ball is 57.5 m/s and the launch angle is ?i = 16°. Neglect air resistance.Question 1) What is the maximum height, h, of the tennis ball? in mQuestione 2) What is the range, R, of the tennis ball? in m info given: what angle results in the greatest height=90 For this 90° angle, the horizontal component of velocity is zero, so the initial velocity is completely in the vertical direction, resulting in greatest height Kato tries substituting ty,max for t, 0 for yi, and h for yf, and gets h =  vi2 sin2 ?i 2g   When ?i = 90°, sin2 ?i is maximum, so h is maximum what angle results in the maximum horizontal range=45°  I substituted 2vi sin ?i g into the expression for the horizontal component of velocity, (vi cos ?i)t, and got  R =  2vi2 sin ?i cos ?i g when ?i = 45°, 2?i = 90°, and sin 90° = 1, which is its maximum value.

A ball is thrown from a height h = 15 m above the ground. When the ball leaves with initial speed of 5.0 m/s at an angle of a= 34° below the horizontal. What is the magnitude of the dlisplacement between the launching point and where the ball hits the ground ?

You are attacking your enemy’s castle and prepare your catapult to launch a large stone at the castle wall. Asyour clan’s engineer, it is up to you to calculate the correct distance from the wall to fire your catapult. Youknow that the projectile will be launched from the catapult 8.2 m above the ground at a velocity of 40 m/s atan angle of 46◦ above the horizontal, and you want to hit the castle wall 3.0 m above the ground, where theprojectile will do the most damage. How far from the wall should your catapult be positioned?

A baseball player hits a ball 1.1m above the plate at an angle of 42 degrees at a speed of 35 m/s. In order to hit a home run, the ball has to clear a 2.4 m tall wall, 120 m away from the plate.  a) sketch the situation, including a coordinate system and the ball's trajectory.  b)how many seconds is the ball in the air, which it reaches the wall?  c) does the ball go over the wall for a home run? (find its vertical position at the appropriate time)  d) what is the ball's speed and direction, as it reaches the wall?

You are really angry at your family, and in your frustration you decide you are going tothrow the pizza you bought for dinner onto the roof of your house. You are 6 metersfrom the house and the roof of the house is 3 meters above the ground. Assuming youtoss the pizza from ground level with an initial speed of 10 m/s at an angle of 60° (abovethe horizontal), how far onto the roof does the pizza land? Assume the roof is flat. Giveyour answer to 2 significant figures