The parametric equations for the path of a projectile launched at a height h feet above the ground, at an angle with the horizontal and having an initiavelocity of 10 feet per second is given by x = (vo cose)t and y=h+(vo sine) - 16t². The center field fence in a ballpark is 10 feet high and 400 fefrom home plate. The ball is hit b = 2 feet above the ground. It leaves the bat at an angle of 0 degrees with the horizontal at a speed of 100 miles perhour as shown in the figure. Find the minimum angle at which the ball must leave the bat in order for the hit to be a home run using the parametric440equations x =coset and y = 2+440(3sine-16r. Round your answer to one decimal place.10 ftb ft400 ft

We have parametric equationFind the angle for which

Answered: The parametric equations for the path…

Similar questions

1. An ant travels 2.78 cm [W] and then turns and travels 6.25 cm [S 40° E]. What is the ant's total displacement? ™T [ans: 4.94 cm [E 76° S]]
Part A) A projectile is launched with speed v0v0 and angle θθ. Derive an expression for the projectile's maximum height hh. Express your answer in terms of the variables v0v0, θθ, and appropriate constants. Part B) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its height if it is hit at an angle of 30.0 ∘∘ . Express your answer with the appropriate units. Part C) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its distance traveled if it is hit at an angle of 30.0 ∘∘ . Express your answer with the appropriate units. Part D A baseball is hit with a speed of 34.0 m/sm/s . Calculate its height if it is hit at an angle of 45.0 ∘∘ . Express your answer with the appropriate units. Part E) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its distance traveled if it is hit at an angle of 45.0 ∘∘ . Express your answer with the appropriate units.
In a computer game, an airplane starts at (1, 6) (in cm) on the curve y=5+(1.6t+1)^−1.3and moves with a constant horizontal velocity of vx=1.6cm/s. What is the plane's velocity at t= 5 s? A)magnitude = 1.69, direction = 164.6 B)None of the above C)magnitude = 1.60, direction = 90.5 D)magnitude = 1.60, direction = 161.4
Needs Complete typed solution with 100 % accuracy.
3. 15. A skateboarder shoots off a ramp with a velocity of 6.6 m/s, directed at an angle of 58° above the horizontal. The end of the ramp is 1.2 m above the ground. Let the x axis be parallel to the ground, the +y direction be vertically upward, and take as the origin the point on the ground directly below the top of the ramp. (a) How high above the ground is the highest point that the skateboarder reaches? (b) When the skateboarder reaches the highest point, how far is this point horizontally from the end of the ramp?
A projectile is launched with an initial velocity of 25.2 m/s at 69.9 degrees with respect to the horizontal. What's the speed of the projectile 1.52s after bein launched. ( assume the speed is measured in m/s)
A clif with an angled summit 900 m above the valley foor is a popular jumping of point for base jumpers.One particular base jumper gets a running start and runs of the side of the clif with a velocity of 4.00 m/sat an angle that is 25.0◦ below the horizontal, as shown.(a) How long is the base jumper in the air before she opens her parachute 150 m above the valley foor?(b) How far (horizontally) is she away from the clif?
A cannonball is fired with a speed of 55 m/s and at an angle of 40 degrees above the horizontal, determine theposition (h) with respect to the ground of the bullet 6 s after launching it.It only places the numerical value, WITHOUT UNITS.Use at least 4 DECIMALS for the procedure.Place only 2 DECIMALS in the result without rounding.
A 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
An athlete participates in a long-jump competition, leaping into the air with a velocity Vo at an angle with the horizontal. Obtain an expression for the length of the jump in terms of Vo, 0, and g.
Vector A>has x and y components of equal magnitude. What canyou say about the possible directions of A>?
A cannon sits at the edge of a cliff at a height H above the ground and is fired at an angle 0 relative to the horizontal. A target sits a horizontal distance D away. The target can be hit by adjusting the muzzle speed, vo, to the appropriate value. H Otanget (a) In terms of 0, D, and the unknown speed vo, find the time tr when the cannon ball will hit the target. (b) Using part (a), find the velocity vo needed to hit the target in terms of H, D, 0. (c) At what horizontal distance x does the cannon ball reach its maximum height?

SEE MORE QUESTIONS