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Chapter 2, Practice Problem 2/044 Compare the slant range R; and flight time t; for the...
(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...
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...
The position vector r describes the path of an object moving in space. Position Vector Time...
The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 12; + tj + 243/2k t = 4 (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) = s(t) a(t) (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. (4) = a(4) 11 Use the model for projectile motion, assuming there is no air resistance and g = 32 feet...
THE EXPERIMENT The speed "." of a ball as it leaves the spring gun will be...
THE EXPERIMENT The speed "." of a ball as it leaves the spring gun will be measured by projecting the ball horizontally (0-0) from a table top at a distance H above the floor. The gun is then elevated at a known angle 8. The position of the target is calculated using the measured value of v. calculated time of flight, and the equations of motion. A successful prediction with the projectile hitting the target means that the following concepts...
EXPLORE A projectile is launched with a launch angle of 30° with respect to the horizontal...
EXPLORE A projectile is launched with a launch angle of 30° with respect to the horizontal direction and with an initial speed of 10 m/s. s0 (A) How do the vertical and horizontal components of the projectile's velocity vary with time? 40 35 (B) How long does it remain in flight? 25 (C) For a given launch speed, what launch angle produces the longest time of flight? 15 10 toy CONCEPTUALIZE Consider the projectile to be a point mass that...
Projectile A is fired at a speed Vo at an angle 0 above horizontal as shown...
Projectile A is fired at a speed Vo at an angle 0 above horizontal as shown and projectile B is fired at the same angle but at a speed of 2 g. Use this for Questions # 1-7. Draw the initial velocity vectors for both projectile A and projectile B Remember that the length of your arrows is important 1. Compare the initial horizontal and vertical velocities of projectiles A and B. Be specilic. Explain your answers 2. 3. Compare...
Projectile A is fired at a speed Vo at an angle 0 above horizontal as shown...
Projectile A is fired at a speed Vo at an angle 0 above horizontal as shown and projectile B is fired at the sar but at a speed of 2%. Use this for Questions #1-7. angle Draw the initial velocity vectors for both projectile A and projectile B. Remember that the length of your arrows is important. 1. 2. Compare the initial horizorntal and vertical velocities of projectiles A and B. Be specific. Explain your answers. 3. Compare the horizontal...
what is the answer for number 4 1. Let r(t) = -i-e2t j + (t? +...
what is the answer for number
4
1. Let r(t) = -i-e2t j + (t? + 2t)k be the position of a particle moving in space. a. Find the particle's velocity, speed and direction at t = 0. Write the velocity as a product of speed and direction at this time. b. Find the parametric equation of the line tangent to the path of the particle at t = 0. 2. Find the integrals: a. S (tezi - 3sin(2t)j +...
Ballistic Pendulum Version Procedure: Fire a practice shot. Locate the landing point on the floor then...
Ballistic Pendulum Version
Procedure: Fire a practice shot. Locate the landing point on the floor then secure a piece of white paper to the floor (centered about the landing point). Cover the sheet with a piece of carbon paper and tape it down. 1. Shoot the ball at least 5 times. Take care not to disturb the position of the launcher during the shots. 2. Measure the vertical height H of the projectile launcher from the floor. (Use a plumb...
Whats the answer to number 1? 1. Let r(t) = -i-e2t j + (t? + 2t)k...
Whats the answer to number
1?
1. Let r(t) = -i-e2t j + (t? + 2t)k be the position of a particle moving in space. a. Find the particle's velocity, speed and direction at t = 0. Write the velocity as a product of speed and direction at this time. b. Find the parametric equation of the line tangent to the path of the particle at t = 0. 2. Find the integrals: a. S (tezi - 3sin(2t)j + ick)...
(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...
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...
The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 12; + tj + 243/2k t = 4 (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) = s(t) a(t) (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. (4) = a(4) 11 Use the model for projectile motion, assuming there is no air resistance and g = 32 feet...
THE EXPERIMENT The speed "." of a ball as it leaves the spring gun will be measured by projecting the ball horizontally (0-0) from a table top at a distance H above the floor. The gun is then elevated at a known angle 8. The position of the target is calculated using the measured value of v. calculated time of flight, and the equations of motion. A successful prediction with the projectile hitting the target means that the following concepts...
EXPLORE A projectile is launched with a launch angle of 30° with respect to the horizontal direction and with an initial speed of 10 m/s. s0 (A) How do the vertical and horizontal components of the projectile's velocity vary with time? 40 35 (B) How long does it remain in flight? 25 (C) For a given launch speed, what launch angle produces the longest time of flight? 15 10 toy CONCEPTUALIZE Consider the projectile to be a point mass that...
Projectile A is fired at a speed Vo at an angle 0 above horizontal as shown and projectile B is fired at the same angle but at a speed of 2 g. Use this for Questions # 1-7. Draw the initial velocity vectors for both projectile A and projectile B Remember that the length of your arrows is important 1. Compare the initial horizontal and vertical velocities of projectiles A and B. Be specilic. Explain your answers 2. 3. Compare...
Projectile A is fired at a speed Vo at an angle 0 above horizontal as shown and projectile B is fired at the sar but at a speed of 2%. Use this for Questions #1-7. angle Draw the initial velocity vectors for both projectile A and projectile B. Remember that the length of your arrows is important. 1. 2. Compare the initial horizorntal and vertical velocities of projectiles A and B. Be specific. Explain your answers. 3. Compare the horizontal...
what is the answer for number
4
1. Let r(t) = -i-e2t j + (t? + 2t)k be the position of a particle moving in space. a. Find the particle's velocity, speed and direction at t = 0. Write the velocity as a product of speed and direction at this time. b. Find the parametric equation of the line tangent to the path of the particle at t = 0. 2. Find the integrals: a. S (tezi - 3sin(2t)j +...
Ballistic Pendulum Version
Procedure: Fire a practice shot. Locate the landing point on the floor then secure a piece of white paper to the floor (centered about the landing point). Cover the sheet with a piece of carbon paper and tape it down. 1. Shoot the ball at least 5 times. Take care not to disturb the position of the launcher during the shots. 2. Measure the vertical height H of the projectile launcher from the floor. (Use a plumb...
Whats the answer to number
1?
1. Let r(t) = -i-e2t j + (t? + 2t)k be the position of a particle moving in space. a. Find the particle's velocity, speed and direction at t = 0. Write the velocity as a product of speed and direction at this time. b. Find the parametric equation of the line tangent to the path of the particle at t = 0. 2. Find the integrals: a. S (tezi - 3sin(2t)j + ick)...
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