Distance and Height of Cannon Projectiles

Figure 2: Right triangle In Figure 2, the right triangle is drawn with the following notation: AB line is called the hypothesis (Hyp representing the initial velocity) AC line is called adjacency (Adj representing horizontal speed) I will. Divide Opposite (Opp, representing vertical speed) into two parts to find the vertical speed per second and the horizontal speed per second. From trigonometry, you can see the following. Sin θ = Opp / HypCos θ = Adj / HypTan θ = Opp / Adj First, you need to find the vertical distance of projectile movement.

The projectile's range and maximum height are independent of its mass. Thus, for all objects thrown at the same speed and direction, the range and maximum height are equal. The horizontal extent d of the projectile is the horizontal distance () through which the projectile passes when it returns to its original height. The projectile trajectory is launched at different elevation angles but fired at the same speed in vacuum at a velocity of 10 m / s and a uniform downward gravity field of 10 m / s. The dot pitch is 0.05 seconds, and the length of the tail is proportional to its speed. t = launch time, T = flight time, R = range, H = highest point of the track (indicated by an arrow)

The parabola is a symmetrical curve. That is, the downward stroke of the projectile is a mirror image of the trip. In order for the projectile to cover as many horizontal distances as possible, the projectile must be launched from an angle of 45 °. If the projectile is launched from an angle of more than 45 °, it gets higher, but it does not cover the same horizontal distance. If the same projectile is fired from an angle less than 45 °, it is not so high and it is pulled up to the ground faster due to gravity. Interestingly, when comparing the horizontal distance to the angle of the projectile, a symmetrical pattern is generated. This means that the projectile fired at 30 ° has the same range as the projectile fired at 60 °.

The purpose of experiment 1 is to determine the distance the falling object moves when the launch altitude changes. The purpose of experiment 2 is to observe the distance x = R, the projectile moves as the launch angle changes. For all experiments due to gravity the acceleration was constant at 8 m / s 2. Please assume experiment 1. As the height goes up, the marble will last longer at the initial speed, but as gravity acts, the distance it moves will increase as the marble goes down. Experiment 2: When the launch angle deviates from 45 degrees, the range of the rocket becomes narrow. Experiment