At what angle height of projectile becomes half of maximum range?

The range of a projectile at an angle theta is equal to half of the maximum range if thrown at the same speed. The angel of projection theta is given by. ∴2θ=30∘orθ=15∘ .

At what angle is the height of the projectile maximum?

45 degrees
The textbooks say that the maximum range for projectile motion (with no air resistance) is 45 degrees.

Why is maximum range at 45 degrees?

The sine function reaches its largest output value, 1, with an input angle of 90 degrees, so we can see that for the longest-range punts 2θ = 90 degrees and, therefore, θ = 45 degrees. A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees.

Why is a 45 degree angle the best trajectory?

As ball speed increases, so does the drag force and the lower is the required launch angle. A launch at 45 degrees would allow the ball to remain in the air for a longer time, but it would then be launched at a lower horizontal speed at the start and it would slow down more because of the longer flight time.

Which launch angle has the highest maximum height lowest height?

Higher launch angles have higher maximum height 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. (see figure 5 above).

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.

What angle is 60?

The easiest way to construct a 60-degree angle is to construct an equilateral triangle, which will have three angles with 60 degrees each. The construction of an equilateral triangle was Euclid’s first proposition in book 1 of his Elements.

What is the speed of a projectile at its maximum height?

The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is >> The speed of a projectile a… The speed of a projectile at its maximum height is half of its initial speed.

How do you find the angle of projection of a projectile?

The angle of projection for which the maximum height of the projectile is equal to the horizontal range has to be determined. Let the required angle of projection be A and object is projected at V m/s. The horizontal component of the velocity is V*cos A and the vertical component is V*sin A.

What is the vertical component of initial velocity at maximum height?

You use the fact that the vertical component of the initial velocity is zero at maximum height. Explanation: When you launch a projectile at an angle #theta# from the horizontal, the initial velocity of the projectile will have a vertical and a horizontal component.