What is the order of the equation for projectile motion?
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What is the order of the equation for projectile motion?
The motion of such a particle is called Projectile Motion. In the above diagram, where a particle is projected at an angle θ, with an initial velocity u….Few Examples of Two – Dimensional Projectiles.
| Quantity | Value |
|---|---|
| Equation of path of projectile motion | y = (tan θ0)x – gx2/2(v0cosθ0)2 |
What is the condition for maximum range of a projectile?
The textbooks say that the maximum range for projectile motion (with no air resistance) is 45 degrees.
How do you maximize range in projectile motion?
To maximize the range with respect to the firing angle θ we differentiate R with respect to θ and set this equal to 0. g 2 ∙ cos 2θ ( ) ∙ 0 therefore 2θ π 2 from which we obtain θ π 4 or 45 degrees. Suppose now we fire the projectile up a ramp which makes an angle α with respect to the horizontal.
How does the angle of projection affect the range and maximum height of a projectile?
Just like the case of the time of flight, we see that maximum height reached by the projectile depends on both initial speed and the angle of projection (θ). Greater the initial velocity and greater the angle of projection from horizontal direction, greater is the height attained by the projectile.
At what angle of release did the projectile travel the shortest range?
30-degrees
The projectile launched at 30-degrees has the smallest vy, and as such the shortest hang time. The range of a projectile is determined by two parameters – the initial value of the horizontal velocity component and the hang time of the projectile.
Why does the angle affect the range of a projectile?
The maximum height is determined by the initial vertical velocity. Since steeper launch angles have a larger vertical velocity component, increasing the launch angle increases the maximum height.
How does the height affect the range of a projectile?
Increasing the launch height increases the downward distance, giving the horizontal component of the velocity greater time to act upon the projectile and hence increasing the range. “
What forces act on projectile motion?
A projectile is an object upon which the only force is gravity. Gravity acts to influence the vertical motion of the projectile, thus causing a vertical acceleration. Horizontal forces are not required to keep a projectile moving horizontally. The only force acting upon a projectile is gravity!