How do you calculate projectile distance?

How do you calculate projectile distance?

The equation for the distance traveled by a projectile being affected by gravity is sin(2θ)v2/g, where θ is the angle, v is the initial velocity and g is acceleration due to gravity. Assuming that v2/g is constant, the greatest distance will be when sin(2θ) is at its maximum, which is when 2θ = 90 degrees.

Why does 45 degrees give maximum range of a projectile?

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.

What determines the hang time of a projectile?

HANG TIME is the total time that an object or person stays in the air when the object is thrown or when the person jumps. The HANG TIME is measured from the instant the player’s feet leave the ground until the time the player’s feet return to the ground.

What is the hang time formula?

Total time (hang time) = time going up + time coming down. so, 2 X time down = hang time.

What is the maximum height of projectile?

The maximum height of the projectile is when the projectile reaches zero vertical velocity. From this point the vertical component of the velocity vector will point downwards. The horizontal displacement of the projectile is called the range of the projectile and depends on the initial velocity of the object.

At what part of a path does a projectile have minimum speed?

A projectile have a minimum speed at the highest point of its trajectory. This is because horizontal speed of the projectile remains constant. Since the only force exerted on the projectile is gravity, which is 9.8 ms2 acting downwards and has no effects on the horizontal velocity.

Is G positive in projectile motion?

So remember, g is positive if the motion of the object has the same direction as the direction of the gravitational acceleration vector, →g , and negative if it has the opposite direction.

Is vertical acceleration constant?

while vertical motion has constant acceleration. This means for projectile motion, the starting velocity in the x-direction will be the same as the final velocity in the x-direction, while the starting and ending velocities in the y-direction will be different because of acceleration due to gravity.

Why is 45 degrees the best launch angle?

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.

What is the optimal angle of release?

For an object released at ground level, for any given release velocity, the maximum distance is achieved using an angle of approximately 45 degrees. For example, for the shot put, the optimum release angle is 40-42 degrees, and for the hammer throw it is 43-44 degrees.

How does angle of inclination affect the range and height of a projectile?

In the nutshell, the range,R, increases with increasing angle of projection for 0° ≤ θ < 45°; the range,R, is maximum when θ = 45°; the range,R, decreases with increasing angle of projection for 45° < θ ≤ 90°. Horizontal range Horizontal range is same for a pair of projection angle.