(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 ground labelled r, as a function of v0, θ, t.
Homework Answers
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(1) (1 point) Write the vector form of velocity a function of
v0, θ, t for...
(f) (1 point) Using values v0 = 10 m/s, θ = 45◦ , φ = −12◦...
(f) (1 point) Using values v0 = 10 m/s, θ = 45◦ , φ = −12◦ ,
find r.
(g) (1 point (bonus)) For the case where φ = 0◦ (flat ground),
give the simplified expressions for horizontal displacement and
time of flight. Disregard the numerical values from previous
part.
2" (6 points) A projectile is launched with initial velocity vo at angle θ above horizontal The ground is sloped at angle φ w.rt. horizontal, where φ < θ 0
MATLAB Write a user defined function for a projectile motion. If a ball is launched from...
MATLAB Write a user defined function for a projectile motion. If a ball is launched from initial position(0,0) with a velocity v0 at angle θ, determine your horizontal and vertical position. Please plot x vs. t, y vs. t and y vs. x.
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 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?
Water leaves a fireman's hose (held near the ground) with an initial velocity v0=19m/s at an angle θ=25°
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.
VBA The projectile motion equations are,x=x0+v0*cos(θ)*t, y=y0+v0*sin(θ)*t+0.5*g*t^2 where x and y are the current position at...
VBA The projectile motion equations are,x=x0+v0*cos(θ)*t, y=y0+v0*sin(θ)*t+0.5*g*t^2 where x and y are the current position at time t, x0 and y0 are the projectile’s initial position, v0 is the projectile’s initial speed, θ is the initial firing angle of the projectile, and g is the gravitational acceleration which is -9.81 m/s2 near Earth’s surface. The user (me) will input the initial x-position (m), y-position (m), speed (m/s), the firing angle (in degrees) in cells F2-F5 on Sheet2. Create a run...
1. A projectile is launched horizontally from a height above level ground of 3 m. When...
1. A projectile is launched horizontally from a height above level ground of 3 m. When it hits the ground, it's horizonta displacement from the launch point is 7 m. a. b. How much time does it spend in flight? With what speed was it launched? Suppose the projectile were now launched from the same point at an angle of 45 above the horizontal. a. b. How much time does it spend in the air? What is its horizontal displacement...
P1.A cannonball is shot at an angle of 45" with an initial velocity vo. This is...
P1.A cannonball is shot at an angle of 45" with an initial velocity vo. This is calculated to exactly land at point B in a projectile trajectory. However, the people at point B launched a rocket with an initial ve locity at 20 from the horizontal sometime after the cannonball launched. The rocket, which will intercept the cannonball at some vertical distance from the ground level, is in a linear path, Find (a) horizontal distance between point A and Point...
I want the math lab code for theses problems in a unique way
I
want the math lab code for theses problems in a unique way
Theory A projectile is launched from point A up an incline plane that makes an angle of 10 with the horizontal. The mountain is 6,000 m high. Vo 10° Figure 1: Flightpath of a projectile. If we neglect the air resistance, the flight path of a projectile launched at an initial speed vo and an angle θ of departure relative to the horizontal is a parabola (see...
I. A projectile is launched from point A with an initial velocity of vo and an...
I. A projectile is launched from point A with an initial velocity of vo and an elevation angle θ as shown. The air resistance is neglected and gravitational acceleration is constant. a) Show that the equation of the path is y-2v zg+x tan θ, where g is the gravitational 2 2v6cos20 acceleration b) Determine the radius of curvature of the path in terms of the time t using n-t coordinate system c) For Vo-10 m/s and θ-40°, plot the radius...
(f) (1 point) Using values v0 = 10 m/s, θ = 45◦ , φ = −12◦ ,
find r.
(g) (1 point (bonus)) For the case where φ = 0◦ (flat ground),
give the simplified expressions for horizontal displacement and
time of flight. Disregard the numerical values from previous
part.
2" (6 points) A projectile is launched with initial velocity vo at angle θ above horizontal The ground is sloped at angle φ w.rt. horizontal, where φ < θ 0
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.
1. A projectile is launched horizontally from a height above level ground of 3 m. When it hits the ground, it's horizonta displacement from the launch point is 7 m. a. b. How much time does it spend in flight? With what speed was it launched? Suppose the projectile were now launched from the same point at an angle of 45 above the horizontal. a. b. How much time does it spend in the air? What is its horizontal displacement...
P1.A cannonball is shot at an angle of 45" with an initial velocity vo. This is calculated to exactly land at point B in a projectile trajectory. However, the people at point B launched a rocket with an initial ve locity at 20 from the horizontal sometime after the cannonball launched. The rocket, which will intercept the cannonball at some vertical distance from the ground level, is in a linear path, Find (a) horizontal distance between point A and Point...
I
want the math lab code for theses problems in a unique way
Theory A projectile is launched from point A up an incline plane that makes an angle of 10 with the horizontal. The mountain is 6,000 m high. Vo 10° Figure 1: Flightpath of a projectile. If we neglect the air resistance, the flight path of a projectile launched at an initial speed vo and an angle θ of departure relative to the horizontal is a parabola (see...
I. A projectile is launched from point A with an initial velocity of vo and an elevation angle θ as shown. The air resistance is neglected and gravitational acceleration is constant. a) Show that the equation of the path is y-2v zg+x tan θ, where g is the gravitational 2 2v6cos20 acceleration b) Determine the radius of curvature of the path in terms of the time t using n-t coordinate system c) For Vo-10 m/s and θ-40°, plot the radius...
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