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Given the velocity of a projectile the angle of projection and the mass of the object how do you determine the distance traveled?
Wiki User
∙ 15y ago
Given the initial velocity V, and the angle from the ground A, the total distance travelled X will be: X = 2 V2 cos(A) sin(A) / g
where "g" is the acceleration due to gravity, on earth g is approximately 9.81 m/s2.
You will notice that the mass of the object does not affect the distance traveled. We can derive this by first determining how long the projectile will be in the air. If the initial velocity is V, then the initial vertical velocity is Vsin(A). The vertical velocity will decrease at a rate of 'g' until the vertical velocity reaches zero (known as apogee), and the projectile starts falling down. The time from launch to apogee will be Vsin(A)/g.
The time for the projectile to go up is the same as for the projectile to fall down again, so the total time in the airis 2Vsin(A)/g.
Assuming we neglect friction, the horizontal velocity is Vcos(A) and does not change. The total distance traveled horizontally is the horizontal speed multiplied by the time spend in the air. So X = 2Vsin(A)/g * Vcos(A) = 2V2cos(A)sin(A)/g.
The maximum distance is achived with an angle of 45o. The distance travelled is symmetric around this value, i.e. an angle of 50o will give the same distance as 40o, and an angle of 15owill give the same distance as 75o.
Wiki User
∙ 15y ago
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If you know the distance traveled and the time traveled can YOU determine an object and DIRECTION?
No, you cannot.
If you know the distance traveled and the time traveled can YOU determine an object and ACCELERATION?
no, you need to know its initial velocity to determine this; if initial velocity is zero then distance is 1/2 acceleration x time squared
What is the distance traveled by an object divided by the time in which the distance was traveled without identifying the direction traveled?
Speed describes the distance traveled by an object divided by the time in which the distance was traveled, if the direction is not specified.
What is the formula for distance traveled?
distance traveled = speed multiplied by time taken.
What information would be necessary to determine the speed of an object?
The distance it travels and how long it took to travel that far. To calculate speed you do (total distance traveled)/(total time taken)
What do need to know to determine how far projectile travels horizontally?
To determine how far a projectile travels horizontally, you need to know the initial velocity of the projectile, the angle at which it was launched, and the acceleration due to gravity. Using these values, you can calculate the horizontal distance traveled using the projectile motion equations.
What do you need to know to be able to determine how far a projectile travels horizontally?
To determine how far a projectile travels horizontally, you need to know the initial velocity of the projectile, the angle at which it was launched, and the acceleration due to gravity. Using these values, you can calculate the time of flight and then multiply it by the horizontal component of the initial velocity to find the horizontal distance traveled.
What is the horizontal distance traveled by a projectile?
The horizontal distance traveled by a projectile is determined by the initial velocity of the projectile, the angle at which it was launched, and the time of flight. It can be calculated using the equation: horizontal distance = (initial velocity * time * cosine of launch angle).
What angle a projectile thrown to achieve maximum vertically distance traveled?
90
At what angle from a horizontal should a weapon be fired to achieve minimum distance traveled by the projectile?
The weapon should be fired at a 45-degree angle from the horizontal to achieve the minimum distance traveled by the projectile. This angle maximizes the range (horizontal distance) of the projectile by balancing the vertical and horizontal components of its velocity. At any other angle, the total distance traveled would be greater.
How do you determine the distance something traveled?
measure
What is the formula for a horizontal launched projectile?
The formula for the horizontal distance traveled by a horizontally launched projectile is: range = initial velocity * time. This formula assumes that there is no air resistance and that the projectile is launched horizontally.
If you know the distance traveled and the time traveled can YOU determine an object and DIRECTION?
No, you cannot.
What is the horizontal displacement of a projectile?
The horizontal displacement of a projectile is the distance traveled by the projectile along the horizontal axis from its initial position to its final position. It is affected by the initial velocity of the projectile and the time it spends in motion. The horizontal displacement can be calculated using the equation: Horizontal displacement = initial velocity * time.
Does a projectile's distance covered decrease when fired at an angle above forty-five degrees?
The optimal angle to fire a projectile if the objective is distance is 45 degrees. It follows that the distance traveled decreases whether the angle is increased or decreased from 45.
How do the horizontal components of a projectile motion vary from the vertical components?
In projectile motion, the horizontal component of motion is constant and does not change, while the vertical component is affected by gravity causing it to accelerate downwards. This results in a parabolic path of the projectile where the horizontal distance traveled is determined by the initial velocity and angle of projection, while the vertical distance is influenced by gravity.
Which two measurements are needed to determine the speed of an object?
To determine the speed of an object, you would need to know the distance it has traveled and the time it took to cover that distance. Speed is calculated by dividing the distance traveled by the time taken to cover that distance.
