Problem 6: Water leaves a fireman's hose (held near the ground) with an initial velocity v0=19m/s at an angle θ=25° above horizontal Assume the water acts as a projectile that moves without air resistance. Use a Cartesian coordinate system with the. origin at the hose nozzle position.
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Water leaves a fireman's hose (held near the ground) with an initial velocity v0=19m/s at an angle θ=25°
During a baseball game, a baseball is struck at ground level by a batter.
Problem 10: During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial velocity v0=29m/s at an angle θ= 21° above horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Air resistance may be ignored throughout this. problem.
A student throws a water balloon with speed vo from a height h = 1.52 m at an angle θ=39° above the horizontal toward a target on the ground.
A student throws a water balloon with speed vo from a height h = 1.52 m at an angle θ=39° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 7.5 m from the student's feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position. Part (a) what is the position vector, Rtarget that originates from the balloon's original position and...
A student throws a water balloon with speed yo from a height h = 1.74 m at an θ = 29° above the horizontal toward a target on the ground.
A student throws a water balloon with speed yo from a height h = 1.74 m at an θ = 29° above the horizontal toward a target on the ground. The target is located a horizontal distance d= 7.5 m from the student's feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position.
A baseball is thrown at an angle = 21° above the horizontal with an initial vertical velocity v0y = 9.75 m/s
A baseball is thrown at an angle = 21° above the horizontal with an initial vertical velocity v0y = 9.75 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position.Part (a) Create an expression for the ball's initial horizontal velocity component, v0x, in terms of v0y, sin(θ), and cos(θ).Part (b) Calculate the initial horizontal velocity component, v0x in m/s. Part (c) Find the ball's initial velocity magnitude, v0 in m/s.
A fire hose held near the ground shoots water at a speed of...
A fire hose held near the ground shoots water at a speed of 6.0 m/s .Part AAt what angle(s) should the nozzle point in order that the water land 2.5 m away (see the figure(Figure 1))?Express your answer(s) using two significant figures. If there is more than one answer, separate them by a comma.
(1) (1 point) Write the vector form of velocity a function of v0, θ, t for...
(1) (1 point) Write the vector form of velocity a function of
v0, θ, t for when the projectile is in flight (before it hits the
ground).
(2) (1 point) Write the down horizontal and vertical
displacements as a function of t, v0, θ.
(3) (1 point) Give the expression for time of flight as a
function of v0, θ, φ. (Hint: use previous results and tan(φ) =
y/x)
(4) (1 point) Give the expression for distance travelled along
the...
A fire hose held near the ground shoots water at a speed of 6.3 m/s. At...
A fire hose held near the ground shoots water at a speed of 6.3 m/s. At what angle(s) should the nozzle point in order that the water land 2.5 m away (see the figure(Figure 1))? Express your answer(s) using two significant figures. If there is more than one answer, separate them by a comma.
A projectile is fired with initial velocity v0 = 95 m/s at an angle θ = 50°.
Problem 8:A projectile is fired with initial velocity v0 = 95 m/s at an angle θ = 50°. After 5 s it strikes the top of a hill. What is the elevation of the hill above the point of firing? At what horizontal distance from the gun does the projectile land?
Consider a projectile launched at a height h feet above the ground and at an angle θ with the hor...
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 = 2 feet above the...
A projectile is launched with an initial velocity v , at an angle θ' above the...
A projectile is launched with an initial velocity v , at an angle θ' above the horizontal. At a certain pont A in its motion, its velocity angle is 0, above the horizontal. At another point B, later in its motion, its velocity angle is θ8 below the horizontal. What is the horizontal distance from A to B? 2. (Model the projectile as a particle. Assume a constant standard earth-surface g value. Ignore all air resistance.) You may assume that...
Problem 10: During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial velocity v0=29m/s at an angle θ= 21° above horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Air resistance may be ignored throughout this. problem.
(1) (1 point) Write the vector form of velocity a function of
v0, θ, t for when the projectile is in flight (before it hits the
ground).
(2) (1 point) Write the down horizontal and vertical
displacements as a function of t, v0, θ.
(3) (1 point) Give the expression for time of flight as a
function of v0, θ, φ. (Hint: use previous results and tan(φ) =
y/x)
(4) (1 point) Give the expression for distance travelled along
the...
A fire hose held near the ground shoots water at a speed of 6.3 m/s. At what angle(s) should the nozzle point in order that the water land 2.5 m away (see the figure(Figure 1))? Express your answer(s) using two significant figures. If there is more than one answer, separate them by a comma.
A projectile is launched with an initial velocity v , at an angle θ' above the horizontal. At a certain pont A in its motion, its velocity angle is 0, above the horizontal. At another point B, later in its motion, its velocity angle is θ8 below the horizontal. What is the horizontal distance from A to B? 2. (Model the projectile as a particle. Assume a constant standard earth-surface g value. Ignore all air resistance.) You may assume that...
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