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Resultant is equal to the square root of the sum of the summation of x-components and the summation of y-components

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Q: Find the resultant velocity if x and y components are given?
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How do you find the firing angle for a projectile given the targets x and y coordinates and initial velocity I would like to do it without calculus if possible.?

They height y of the projectile is given by the function y = vosin(0)t + 1/2gt2, where vo is the initial velocity of the projectile, 0 is the firing angle, t is the time, and g is the acceleration of gravity (-9.81m/s2). The range x of the projectile is given by the function x = vocos(0)t. Rearranging this last equation for time yeilds t = x/(vocos(0)); this will give us the length of time the projectile takes to reach the target. Substituting this into the first equation yeilds: y = vosin(0)[x/(vocos(0))] + 1/2g[x/(vocos(0))]2 this can be simplified further but it is not necessary to do so; plugging it the x and y coordinates, the initial velocity, and the acceleration of gravity, you should be able to solve for 0, which is now the only unknown.


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Related questions

How do you find resultant velocity?

When you combine 2 velocities that are in the same directions, add them together to find the resultant velocity. When you combine 2 velocities that are in opposite directions, subtract the smaller velocity from the larger velocity to find the resultant velocity.


How do you find vector components when given the vectors are parallel and the magnitude of each vector is equal to 1?

If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.


How do you find the resulting velocity?

When you combine 2 velocities that are in the same directions, add them together to find the resultant velocity. When you combine 2 velocities that are in opposite directions, subtract the smaller velocity from the larger velocity to find the resultant velocity.


How do you find components of the velocity with a given force acceleration and time?

You do not need force. Velocity is the integral of acceleration with respect to time. The orthogonal components of acceleration can be integrated independently to give the orthogonal components of velocity.


How do you find missing vector if resultant is given?

The Resultant Vector minus the other vector


How to find the height of the projectile launch if the angle velocity and the distance are given?

Get the value of initial velocity. Get the angle of projection. Break initial velocity into components along x and y axis. Apply the equation of motion .


How do you find vertical and horizontal components when given the initial velocity?

If the initial velocity is v, at an angle x to the horizontal, then the vertical component is v*sin(x) and the horizontal component is v*cos(x).


How do you find acceleration when given only mass and velocity?

You can't. Acceleration is change in velocity. If given a constant velocity, the acceleration is zero.


How to find potential energy when only mass and velocity time is given?

To get the potential energy when only the mass and velocity time has been given, simply multiply mass and the velocity time given.


How do you find the velocity when only distance given?

You cannot.


How do you find a final velocity without distance but given time?

Without distance, you have to know time, initial velocity, and acceleration, in order to find final velocity.


How do you find velocity when given the time and mass?

You can't. The mass is irrelevant to velocity. You need the distance.