# How do you find the optimal angle of a projectile motion?

How do you find the optimal angle of a projectile motion? Since all paths meet at one point, we know we have found the launch angle for which the projectile’s horizontal path distance reaches a maximum. c = s 2hgv2 + v4 2agv2 + g2 . Recall c = v2/g cot✓m, so we find that the optimal initial angle, ✓m, is ✓m = arccot g v2 s2hgv2 + v4 2agv2 + g2 !

Why is 45 the best angle for projectile motion? 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 45 degrees not the best launch angle? Optimal launch angle is around 25 degrees, not higher than 45. It wouldn’t get any distance before the air slowed it down if it were higher than 45.

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

## How do you find the optimal angle of a projectile motion? – Additional Questions

### At what angle is projectile minimum?

The horizontal range will be minimum if the angle of projection is 90°.

### For what angle the range is maximum and minimum?

Maximum Range: It is the longest distance covered by the object during projectile motion. When the angle of projection is 45°, the maximum range is obtained.

### At which angle the height of projectile will be maximum A 30 B 40 C 60 D 90?

1. Answer: C Explanation: The maximum range occurs for a launch angle of 45°.

θ=60o.

or 2θ=30⇒θ=15o.

### At which angle range and height are equal?

If the angle of projection is [{75.96^ circ }], the maximum height is equal to the horizontal range.

### What is the angle of projection?

The angle between the direction of projection and the horizontal drawn at that point is called the angle of projection.

### What is range in projectile motion?

Assuming a projectile is launched from the ground level, the range is defined as the distance between the launch point and the point where the projectile hits the ground.

### What is the angle of projection of maximum horizontal range?

Hence, at θ=45o , Range is maximum. 