A projectile is launched at an angle of 60 degrees to the horizontal from 6.5ft above...

A projectile is launched at an angle of 60 degrees to the horizontal from 6.5ft above the ground at an initial speed of 100 ft/sec. Assume the x-axis is horizontal, the positive y axis is vertical (opposite g), the ground is horizontal, and the only gravitational force acta on the object. Answer parts A through D.

A) Find the velocity - v(t) and position - r(t) vectors for t greater than or equal to 0.

B) Graph the trajectory

C) Determine the time if flight ( the projectile remains in the air for ____ seconds) and range of the object (the projectile travels ___ feet)

D)Determine the maximum height of the object. Units: feet.

Expert Solution

milcah answered 2 years ago

a projectile is launched in the horizontal direction at an angle of 0 degrees. vertical height...

a projectile is launched in the horizontal direction at an angle of 0 degrees. vertical height of 0.992meters and a horizontal displacement of 3.1311+-0.051205m what is the time of the fall? do not forget u certainties

A projectile is fired at an angle of 28 degrees above the horizontal with an initial...

A projectile is fired at an angle of 28 degrees above the horizontal with an initial velocity of 1800 feet per second from an altitude of 1,000 feet above the level ground. A) Formulate the vector valued function (in simplified form) for the position of the projectile at any time,t. B) When and where (in terms of down range distance) does the projectile strike the ground? Be clear and label your results, including units. C) When does the projectile reach...

A projectile is launched with an initial velocity vo at an angle theta above the horizontal....

A projectile is launched with an initial velocity vo at an angle theta above the horizontal. In terms of vo, theta and acceleration due to gravity g, determine for the projectile i) the time to reach its maximum height and ii) its maximum height.

A projectile is launched with initial velocity of 11 m/s at 30.5 degrees above the horizontal....

A projectile is launched with initial velocity of 11 m/s at 30.5 degrees above the horizontal. - find the x-component of the initial velocity: - find the y-component of the initial velocity:

A ball is launched at an angle of 33.4 degrees up from the horizontal, with a...

A ball is launched at an angle of 33.4 degrees up from the horizontal, with a muzzle velocity of 6.5 meters per second, from a launch point which is 1 meters above the floor. How far horizontally (in meters) from the launcher will it land on the floor? Use 9.82 meters per second for “g”.

A ball is launched from the ground at an angle of 65∘ above the horizontal with...

A ball is launched from the ground at an angle of 65∘ above the horizontal with a velocity of 22m/s. The ball hits the ground some distance away at a given speed, and bounces back up. When it does so the amplitude of both the x and y components of its velocity are half what they were. This repeats with the ball losing half of it’s speed on each bounce. a) Sketch the problem. b) Write the equation of motion...

A projectile is fried at an angle of 58° above the horizontal at a speed of...

A projectile is fried at an angle of 58° above the horizontal at a speed of 100 m/s. Part A: calculate the magnitude of its velocity at t= 5.0 s Part B: calculate the direction of its velocity (above the horizontal) at t= 5.0s Part C: Calculate the magnitude of its velocity at t= 10s part D: calculate the direction of its velocity (above the horizontal) at t= 10s part E: calculate the magnitude of its velocity at t= 15s...

A projectile is launched with a speed of 45 m/s at an angle of 35 degrees...

A projectile is launched with a speed of 45 m/s at an angle of 35 degrees above the horizontal from the top of a wall. The projectile lands 250m from the base of the wall. a.) Determine the height of the wall. b.) Determine the impact velocity of the projectile

A projectile is fired from ground level at an angle of 63 degree above the horizontal...

A projectile is fired from ground level at an angle of 63 degree above the horizontal with an initial speed of 30 m/s . What is the magnitude of its instantaneous velocity the moment before it hits the ground? Express your answer in meters per second to two significant figures.

Consider a projectile launched at a height h feet above the ground and at an angle...

Consider a projectile launched at a height h feet above the ground and at an angle θ 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(θ)) and y = h + (v0 sin(θ))t − 16t2. The center field fence in a ballpark is 10 feet high and 400 feet from home plate. The ball is hit h = 3 feet above the...

Question