Use the equation Vy=Voy-gt
Because we are talking about the highest point we know that Vy=0 (i.e. the football is no longer moving up). Therefore set the equation equal to zero
0=Voy-gt
Voy=gt
Next, use the equation Voy=sin(theta)
Replace Voy with "gt" because Voy=gt in this case (see above)
You get: gt=sin(theta)
You know theta = 20 degrees and t=2seconds
G is a constant that = 9.81m/s^2
Plug in the numbers
Christie
30m
The vertical velocity is 0. The horizontal velocity is constant during the entire trajectory (and may be zero).
Assuming that there is no velocity in the horizontal direction, then the velocity at that instant is zero.
rainbow trajectory
If space were entirely empty this would be true, but even minute gravitational forces can change the trajectory and velocity of a projectile.
Minimum speed occurs at the top, which is the same as the horizontal component of velocity anywhere along the path.
The vertical velocity is 0. The horizontal velocity is constant during the entire trajectory (and may be zero).
Assuming that there is no velocity in the horizontal direction, then the velocity at that instant is zero.
rainbow trajectory
If space were entirely empty this would be true, but even minute gravitational forces can change the trajectory and velocity of a projectile.
Minimum speed occurs at the top, which is the same as the horizontal component of velocity anywhere along the path.
If the projectile's velocity has a horizontal component - in other words, it doesn't go straight up - then its speed will never be zero.
The vertical velocity is zero at the highest point. It has ceased moving upward and will begin moving downward. Gravity and air resistance will have negated the original vertical velocity (y-component). So the velocity at the highest point has only a horizontal or x-component.
No, horizontal velocity and vertical velocity are independent and have no effect on each other.
The initial velocity of the football can be easily found by solving for the magnitude of the vector formed by adding the two components given. This is accomplished using the Pythagorean theorem. The initial velocity of the football is approximately 26.2 m/s.
Bullet trajectory is the path the bullet travels once it leaves the barrel. Bullets travel on a long arch and cross the line of sight twice. Once shortly after leaving the barrel and once again on target assuming the sights are properly zeroed. This is the trajectory of the bullet. Bullet velocity is the speed at which the bullet is traveling along it's trajectory.
The horizontal component of a projectile's velocity doesn't change, until the projectile hits somethingor falls to the ground.The vertical component of a projectile's velocity becomes [9.8 meters per second downward] greatereach second. At the maximum height of its trajectory, the projectile's velocity is zero. That's the pointwhere the velocity transitions from upward to downward.
-- If fired parallel to the length of the field, it will take360/(horizontal component of muzzle velocity, fps)seconds.-- If fired parallel to the width of the field, it will take160/(horizontal component of muzzle velocity, fps)seconds.