Once the strong> flight time is obtained, simply substitute in the equation of position of the horizontal component. It is the maximum horizontal distance, from the starting point of the motion to the point in which the body hits the ground. Projectile motion is the motion of an object thrown or projected into the air, subject only to acceleration as a result of gravity. That is, the flight time is the time required for the height to become 0 (the projectile reaches the ground). Defining the positive direction to be upward, the components of acceleration are then very simple: ay g 9.8m/s2 ( 32ft/s2). It is calculated for y = 0, the vertical component of the position. From that time, and from the equations of position, we can calculate the distance to the origin in the both axes, the x-axis and y-axis. Starting from the equation of velocity in the y-axis, and making v y = 0, we get the time t that it takes the body in get to this height. This value is reached when the velocity in the y-axis, v y , is 0.
On the other hand, frequently in exercises, you would be asked for some of the following values. On the other hand, to know which trajectory the body follows, that is, its equation of trajectory, we can combine the above equations to eliminate t, getting:Īs expected, this is the equation of a parabola. Will it clear the fence The basic motion equations can be solved simultaneously to express y in terms of x. The equation of position of the projectile motion is given by:
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