A quarterback passes the football downfield at 19.0 m/s. It leaves his hand 1.70 m above the ground and is caught by a receiver 36.0 m away at the same height. What is the maximum height of the ball on its way to the receiver?   so y0 = 1.7m  x(t) = 36m  , i guess i will need angle and t to get the answer, but i have no idea how to find them

I am again standing on the sky scraper building of height 45.0 m. I throw a metal ball from the top of the building at an angle of 30.00  above the horizontal surface. The ball lands 75 cm from the base of the building.  (a) What is the time taken by the ball to reach the ground? (b) How high from the ground the ball can reach?

5.3. a. Two position vectors are seen. Draw the displacement 2- on a separate sheet. HELP: Use the tip-to-tip drawing rule 7₂ b. Suppose has magnitude 6 and 2 has magnitude 2. What is the magnitude of Ar=2-71 c. Two velocity vectors are seen. Draw the difference 2-₁. Suppose ₁ has magnitude 5 and 2 has magnitude 10. What is the magnitude of A? 32 V1 I

1. Vivian is practicing her shooting accuracy with her slingshot by trying to shoot rubber balls into a bucket on the ground. For one particular shot for which the ball lands in the bucket, she fired her slingshot horizontally with an initial speed of 56.0 m/s at a height of 170 cm above the ground. (a) How far away is Vivian standing from the bucket? (b) What are the magnitude and direction of the ball's velocity when it lands in the bucket? Note: Please be mindful of significant figures. Also, you can assume that when the balls land in the bucket, they are on the ground.

Consider a projectile launched at a height h feet above the ground and at an angle ? with the horizontal. If the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations x = t(v0 cos(?)) and y = h + (v0 sin ?)t - 16t2.Let h=6, v0=63.25, and ?=0.79.  What is the range of the projectile (i.e., how far does it travel? Round your answers to two decimal places).

5. A projectile is launched at an angle of 50° with the horizontal and a speed of 25 m/s. a) What is the Range of the projectile? b) What is its height after 1.5 second?

= 3.98 m to the north, A novice golfer on the green takes three strokes to sink the ball. The successive displacements of the ball are d₁ d₂ = 2.06 m northeast, and d3 = 1.16 m at 30.0° west of south (see the figure below). Starting at the same initial point, an expert golfer could make the hole in what single displacement? magnitude direction WE S m o north of east d₂ d₁ 30.0° dz

IT.0.0a Given an acceleration vector, initial velocity (uo.Vo), and initial position {xo.yo}, find the velocity and position vectors for t2 0. a(t) = (cos t,5 sin t. (Uo Vo) = (0,5) , (Xo.Yo) = (2.0) What is the velc | vector? v(t) =

Mark Watney (played by Matt Damon in the Martian movie) and Marvin the Martian (Looney Tunes cartoon character) are having an argument on the surface of Mars (negligible air resistance). They are testing out their new potato launcher that fires projectiles at a consistent speed. Mark first uses the launcher to launch his potato at an angle of θM = 60◦and then Marvin uses it to launch his identical potato at an angle of θm = 30degrees . The launch speed of the potatoes is v0 = 30 m/s. On mars the acceleration due to gravity is about gm = 3.7 m/s2. (A) Calculate the maximum height each potato achieved. (B) Calculate how far away from the launch each potato landed, assuming they land at the same elevation as from which they were launched.

As shown, a skier speeds along a flat patch of snow, and then flies horizontally off the edge at 12.0 m/s. He eventually lands on a straight, sloped section that is at an angle of 45° below the horizontal. How long is he in the air?