How do you determine the optimal angle for projectile motion? I was instructed to take the...
How do you determine the optimal angle for projectile motion? I was instructed to take the derivative of the equation for the range and set it equal to zero to solve for the angle. is the optimal angle the same for all initial velocities to obtain their maximal ranges?
Can you please assist with the derivation for the optimal angle?
Homework Answers
Add Answer to:
How do you determine the optimal angle for projectile
motion? I was instructed to take the...
In the lab, you will be investigating the properties of projectile motion. Note that the simulations...
In the lab, you will be investigating the properties of projectile motion. Note that the simulations here deal with the special case in which the projectile lands at the same level from which it was launched. In the lab, the projectile lands lower than where it started. The general principles of projectile motion still apply, however. For a projectile that starts and ends at the same height, use simulation 1 to help fill in the table below, or you can...
If the projectile is launched at a launching angle theta, with an initial velocity Vo from...
If the projectile is launched at a launching angle theta, with
an initial velocity Vo from a height of Yo above the table top, how
long does it take the projectile to fall on the table top? Now that
your Voy is no longer zero, so you must use the quadratic equation
to solve for t. Express the time in terms of g,Yo,Vo, and theta,
make sure that your y-direction is fixed.
t=
How far would it travel? Express in...
Simulation: Projectile motion, with and without air drag, plotted, Question 2 Note: use principles of physics...
Simulation: Projectile motion, with and without air drag, plotted, Question 2 Note: use principles of physics to solve the problem and then verify your answer using the simulation. Assume that the acceleration due to gravity has a magnitude of g 9.30 m/s2. If the range of the projectile is 6.76 m, the time-of-flight is T-1.28 s, and air resistance is turned off, determine the following (a) What is the launch angle of the projectile? Number Units the absolute tolerance is...
Please help with Q1 a)b)c). Question 1: In the lectures we considered simple projectile motion. Here we extend the description to include air resistance. For macroscopic objects in air, the dynamics...
Please help with Q1 a)b)c).
Question 1: In the lectures we considered simple projectile motion. Here we extend the description to include air resistance. For macroscopic objects in air, the dynamics equations including air resistance may be written V and ^- where m is the mass of the object, g is the acceleration due to gravity, y is the vertical direction, C is a dimensionless drag coefficient, A is the cross-sectional area of the object, pa 1.2kg/m3 is the density...
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...
Motion can be derived from the slope of the graph? 8 . Wild equation Show how...
Motion can be derived from the slope of the graph? 8 . Wild equation Show how position vs time and velocity vs time graphs are connected. Include the following information in your summary: • What are the 5 variables you need for accelerated motion problems? How do you determine the equation you will need to use to solve the problem? What are the accelerated motion kinematics equations? What do +/- mean for kinematics? What combinations of (+/-) velocity and acceleration...
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 40 m/s. (A) How do the vertical and horizontal components of the projectile's velocity vary with time? (B) How long does it remain in flight? (C) For a given launch speed, what launch angle produces the longest time of flight? CONCEPTUALIZE Consider the projectile to be a point mass that starts with an initial velocity, upward and...
how do I solve this problem? Homework 3.1 5- A projectile is shot from the edge...
how do I solve this problem?
Homework 3.1 5- A projectile is shot from the edge of a cliff 115 m above ground level with an initial speed of 65.0 m/s at an angle of 35.0° with the horizontal, as shown in Fig. 3-44. (a) Deter- mine the time taken by the projectile to hit point P at ground level. (b) Determine the distance X of point P from the base of the vertical cliff. At the instant just before...
If the projectile is launched at a launching angle theta, with
an initial velocity Vo from a height of Yo above the table top, how
long does it take the projectile to fall on the table top? Now that
your Voy is no longer zero, so you must use the quadratic equation
to solve for t. Express the time in terms of g,Yo,Vo, and theta,
make sure that your y-direction is fixed.
t=
How far would it travel? Express in...
Simulation: Projectile motion, with and without air drag, plotted, Question 2 Note: use principles of physics to solve the problem and then verify your answer using the simulation. Assume that the acceleration due to gravity has a magnitude of g 9.30 m/s2. If the range of the projectile is 6.76 m, the time-of-flight is T-1.28 s, and air resistance is turned off, determine the following (a) What is the launch angle of the projectile? Number Units the absolute tolerance is...
Please help with Q1 a)b)c).
Question 1: In the lectures we considered simple projectile motion. Here we extend the description to include air resistance. For macroscopic objects in air, the dynamics equations including air resistance may be written V and ^- where m is the mass of the object, g is the acceleration due to gravity, y is the vertical direction, C is a dimensionless drag coefficient, A is the cross-sectional area of the object, pa 1.2kg/m3 is the density...
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...
Motion can be derived from the slope of the graph? 8 . Wild equation Show how position vs time and velocity vs time graphs are connected. Include the following information in your summary: • What are the 5 variables you need for accelerated motion problems? How do you determine the equation you will need to use to solve the problem? What are the accelerated motion kinematics equations? What do +/- mean for kinematics? What combinations of (+/-) velocity and acceleration...
how do I solve this problem?
Homework 3.1 5- A projectile is shot from the edge of a cliff 115 m above ground level with an initial speed of 65.0 m/s at an angle of 35.0° with the horizontal, as shown in Fig. 3-44. (a) Deter- mine the time taken by the projectile to hit point P at ground level. (b) Determine the distance X of point P from the base of the vertical cliff. At the instant just before...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago