(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.
Homework Answers
(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...
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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...
A projectile is launched with V0 = 6.7 m/s and initial angle = 1.24 radians above...
A projectile is launched with V0 = 6.7 m/s and initial angle = 1.24 radians above the horizontal. What is the initial horizontal component of the projectile velocity in miles per hour?
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...
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.
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...
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...
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A projectile is launched with an initial speed of 40 m/s at an angle of 25°...
A projectile is launched with an initial speed of 40 m/s at an angle of 25° above the horizontal. (a) What are the horizontal and the vertical components of initial velocity. (b) Find the time taken by the projectile to reach the highest point and its height at the highest point. (c) How long does it take the projectile to hit the ground after launch and how far from the starting point it hits the ground. (d) Calculate the velocity...
(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...
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...
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.
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...
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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