student standing on a cliff throws a stone from a vertical height of d=8.0m above the level ground with velocity v0=15m/s at an angle θ=18∘ below the horizontal. It moves without air resistance. Use a Cartesian coordinate system with the origin at the initial position of the stone.   With what speed, in meters per

A student standing on a cliff that is a vertical height d= 25 ft above the level ground throws a stone with velocity v0= 73 ft/s at an angle θ = 25 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position. 1).With what speed, vf in feet per second, does the stone strike the ground?  2).

A space vehicle is coasting at a constant velocity of 20.5 m/s in the +y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.351 m/s2 in the +x direction. After 33.2 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the +y direction.

A space vehicle is coasting at a constant velocity of 17.0 m/s in the +y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.291 m/s2 in the +x direction. After 54.3 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the +y direction.

You hit a golf ball from the (level) ground, with an initial speed and an initial angle.  Ignore air resistance.  (This is very unrealistic.) The initial speed is v0 = 23.7 m/s, and the angle the ball is hit at is θ = 46o.  Calculate vx0, the initial horizontal component of velocity (in m/s). What equations describe the trajectory of the golf ball?

For safety reasons, park rangers decide to start an avalanche on a mountain slope.  They fire an artillery shell at an angle of 520 above the horizontal with an initial speed of 295 m/s.  Thirty seconds later they see the explosion.  What is the x coordinates of the shell where it explodes, relative to the firing point?

A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of Vo = 22.0 m/s. The rock leaves his hand at a height of h = 46.0 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. = i (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) хо Yo = Voy Vy y = 4o (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox m/s m/s 11 m m (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 v, are in m/s and t is in seconds. Do not include units in your answers.) oral m/s m/s Simuna wir + Accumo that y andy are in meters and it is in seconds. Do not

A baseball is thrown at an angle θ = 22° above the horizontal with an initial vertical velocity v0y = 13.5 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position. Calculate the initial horizontal velocity component, v0x in m/s.

A student standing on a cliff throws a stone from a vertical height d=8.0m above the level ground with velocity v0=16.2m/s at an angle θ=34∘ below the horizontal. It moves without air resistance. Use a Cartesian coordinate system with the origin at the stone's initial position. 1).With what speed, in meters per second, does the stone strike the ground?  2) which option is correct If the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, then compare their impact velocities.   The impact velocity when throwing a stone above horizontal will be more than the case when throwing a stone below horizontal.   The impact velocities of the two situations will be the same.   More information is needed to conclude the relative strength of impact velocities.   The impact velocity when throwing a stone above horizontal will be less than the case when throwing a stone below horizontal.

A woman stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 21.5 m/s. The stone leaves her hand at a height of h = 57.0 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. 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.