Solving Trajectory Problem with 2 Variables (V,A)

Thread starter Sciencerob
Start date Jul 19, 2010
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Trajectory

In summary: After it is projected, it is no longer zero. And the forumula you have is a general one, true for any projectile launched at an angle of theta above the horizontal, with muzzle velocity v0. If you have a particular projectile in mind, with a particular angle of projection, and a particular initial height, then you can use the formula to calculate the flight time, and then the range (as I showed you before), and then you can plot that range vs the muzzle velocity, to get a straight line. Is that what you are after?In summary, the conversation discusses a group project involving projectile motion, specifically finding the relationship between muzzle velocity and range. The initial equation given by the group

Jul 19, 2010

kuruman

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Sciencerob said:

Almost there... I got it to work but when I put in 300 for Velocity I got a number around 40,000.

=(300*SIN(0.5236)+SQRT(300^2*SIN( 0.5236)*SIN(0.5236)+2*(44.1)*(9.8))/9.8)*300*COS( 0.5236)

That is my formula.

You put this 9.8 in the wrong place. It should divide everything not just the radical.

<h2>1. How do you calculate the trajectory of an object with 2 variables, velocity and acceleration?</h2><p>To calculate the trajectory of an object with 2 variables, velocity (V) and acceleration (A), you can use the following formula: <strong>Trajectory = V * t + 1/2 * A * t^2</strong>, where t represents time. This formula takes into account the initial velocity and the constant acceleration of the object.</p><h2>2. Can the trajectory of an object with 2 variables be affected by external factors?</h2><p>Yes, the trajectory of an object with 2 variables can be affected by external factors such as air resistance, wind, and friction. These factors can alter the velocity and acceleration of the object, thus changing its trajectory.</p><h2>3. What is the difference between displacement and trajectory?</h2><p>Displacement refers to the overall change in position of an object, while trajectory refers to the path that the object takes in space. In other words, displacement is the distance between the initial and final position, while trajectory is the actual route the object takes to get from one point to another.</p><h2>4. How can you use the equations of motion to solve trajectory problems with 2 variables?</h2><p>The equations of motion, such as the one mentioned in the first question, can be used to solve trajectory problems with 2 variables by plugging in the known values for velocity, acceleration, and time. By rearranging the equation, you can solve for any missing variable.</p><h2>5. Is it possible to have a negative trajectory?</h2><p>Yes, it is possible to have a negative trajectory. This would occur if the object is moving in the opposite direction of the positive direction, or if it experiences a negative acceleration. In this case, the trajectory would have a downward slope on a graph. </p>

1. How do you calculate the trajectory of an object with 2 variables, velocity and acceleration?

To calculate the trajectory of an object with 2 variables, velocity (V) and acceleration (A), you can use the following formula: Trajectory = V * t + 1/2 * A * t^2, where t represents time. This formula takes into account the initial velocity and the constant acceleration of the object.

2. Can the trajectory of an object with 2 variables be affected by external factors?

Yes, the trajectory of an object with 2 variables can be affected by external factors such as air resistance, wind, and friction. These factors can alter the velocity and acceleration of the object, thus changing its trajectory.

3. What is the difference between displacement and trajectory?

Displacement refers to the overall change in position of an object, while trajectory refers to the path that the object takes in space. In other words, displacement is the distance between the initial and final position, while trajectory is the actual route the object takes to get from one point to another.

4. How can you use the equations of motion to solve trajectory problems with 2 variables?

The equations of motion, such as the one mentioned in the first question, can be used to solve trajectory problems with 2 variables by plugging in the known values for velocity, acceleration, and time. By rearranging the equation, you can solve for any missing variable.

5. Is it possible to have a negative trajectory?

Yes, it is possible to have a negative trajectory. This would occur if the object is moving in the opposite direction of the positive direction, or if it experiences a negative acceleration. In this case, the trajectory would have a downward slope on a graph.