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.

The projectile motion depends on the initial velocity and the launch angle.

Complete step by step answer: If the angle of projection is 75.96∘, the maximum height is equal to the horizontal range.

As mentioned above, the sine function reaches its biggest output value, 1, with an input angle of 90 degrees, so we can see that for a sky-high punt θ = 90. That means that the best way to launch a high-altitude projectile is to send it flying at a 90-degree angle to the ground—straight up.

The range of an object, given the initial launch angle and initial velocity is found with: R=v2isin2θig R = v i 2 sin ⁡ 2 θ i g . The maximum height of an object, given the initial launch angle and initial velocity is found with:h=v2isin2θi2g h = v i 2 sin 2 ⁡ θ i 2 g .

45 Degrees

45°.

Originally Answered: Why is 45 degrees the best launch angle? 45° is the best launch angle because it gives us the maximum range. Let the launch speed be at an angle Then the vertical component of the velocity is The time to decelerate to a zero vertical velocity will be and the total flight time will be double that.

Explanation: This type of motion is called projectile motion. So Hmax is attained when sin2θ is maximum. So θ=90∘ .

Acute angle. It’s any angle that measures more than 0 degrees but less than 90 degrees. An acute angle falls somewhere between nonexistent and a right angle (see Figure 4). Figure 4: Acute angles — at 45° (Figure a), 60° (Figure b), and 30° (Figure c).

The different types of angles based on their measurements are: Acute Angle – An angle less than 90 degrees. Right Angle – An angle that is exactly 90 degrees.

8

So this means that 8, 45 degree angles can fit in 360. And therefore create a full circle.

two 180

1/4 of a circle would equal 90 degrees (1/4 of 360 = 90).

The 7 types of angles are: right angles, acute angles, obtuse angles, straight angles, reflex angles, full angles, and complementary angles.

Angles that are 90 degrees (θ = 90°) are right angles. Angles that are 180 degrees (θ = 180°) are known as straight angles. Angles between 180 and 360 degrees (180°< θ < 360°) are called reflex angles.

Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.