153.5 km/h 10° A helicopter is flying with a constant horizontal velocity of 153.5 km/h and is directly above Point A when a loose part begins to fall. The part lands 8.50 s later at Point B on an inclined surface. Determine (a) the distance d between Points A and B, (b) the initial height h.
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- A plane, diving with constant speed at an angle of 45.9° with the vertical, releases a projectile at an altitude of 680 m. The projectile hits the ground 6.56 s after release. (a) What is the speed of the plane? (b) How far does the projectile travel horizontally during its flight? What were the magnitudes of the (c) horizontal and (d) vertical components of its velocity just before striking the ground? (State your answers to (c) and (d) as positive numbers.)1.A projectile is fired from ground level at an angle of 54 ∘∘ above the horizontal with an initial speed of 35 m/sm/s . A) What is the magnitude of its instantaneous velocity at the moment it is fired? B)What is the direction (relative to horizontal) of its instantaneous velocity at the moment it is fired? C) What is the magnitude of its instantaneous velocity the moment it reaches its maximum height? D) What is the direction (relative to horizontal) of its instantaneous velocity the moment it reaches its maximum height? E) What is the magnitude of its instantaneous velocity the moment before it hits the ground? F) What is the direction (relative to horizontal) of its instantaneous velocity the moment before it hits the ground?During volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. The figure shows a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle θ0 = 38˚ to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h = 3.40 km and horizontal distance d = 10.2 km? Ignore, for the moment, the effects of air on the bomb's travel. (b) What would be the time of flight?
- A quarterback passes a football from height h = 2.1 m above the field, with initial velocity v0 = 11.5 m/s at an angle θ = 31° above horizontal. Assume the ball encounters no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position.a. create an expression for the football's horizontal velocity , vfx, when caught by a receiver in terms of v0, θ, g, and h.b. The receiver catches the football at the same height as released by the quarterback. Create an expression for the time, tf, the football is in the air in terms of v0, θ, g, and h. c. The receiver catches the ball at the same vertical height above the ground it was released. Calculate the horizontal distance, d in meters, between the receiver and the quarterback.A squirrel is launched due west from a height of 10 meters with an initial velocity of 80 meters per second atan angle of 60 degrees above horizontal. A strong wind blowing directly out of the north causes the squirrel toaccelerate south at a rate of 2 m/s^2. All of this takes place in my backyard where acceleration due to gravity is 7 m/s2 (a) With the positive y–axis oriented north, the positive x–axis oriented east, and the positive z–axis up into the sky, findthe vector equation for the path of the squirrel. (b) Find the time when the squirrel is at her maximum height.A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v0 = 17.5 m/s. The rock leaves his hand at a height of h = 45.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) x0= m y0= m (b) What are the components of the initial velocity? (Enter your answers in m/s.) v0x= m/s v0y= m/s (c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that vx and vy are in m/s and t is in seconds. Do not include units in your answers.) vx=17.5m/s vy=−9.8t m/s (d) Write the equations for the position of the rock with time, using the coordinates in the figure. (Use the following as necessary: t. Assume that x and y are…
- A plane, diving with constant speed at an angle of 53.0° with the vertical, releases a projectile at an altitude of 730 m. The projectile hits the ground 5.00 s after release. (a) What is the speed of the plane? (b) How far does the projectile travel horizontally during its flight? What are the (c) horizontal and (d) vertical components of its velocity just before striking the ground?You can use the formula for centripetal acceleration OR You have to calculate the average acceleration directly from the definition, a = delta v / delta t. You have to first get a_x by using the velocity's initial and final x components, do a_y from the y components, and then use the Pythagorean formula to get the magnitude of the acceleration vector.A person stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 15.0 m/s. The stone leaves his hand at a height of h = 52.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the stone leaves the hand. (a) What are the coordinates of the initial position of the stone? (Enter your answers in m.) (b) What are the components of the initial velocity? (Enter your answers in m/s.) (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Assume that vx and vy are in m/s and t is in seconds. Do not include units in your answers.) (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Assume that x and y are in meters and t is in seconds. Do not include units in…