(a) Show that for a projectile the angle between the velocity and the x -axis as a function of time is given by (b) Show that the projection angle for a projectile launched from the origin is given by Where the symbols have their usual meaning.
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Projectile motion occurs when objects are fired at some initial velocity or dropped and move under the influence of gravity.
One of the most important things to remember about projectile motion is that the effect of gravity is independent on the horizontal motion of the object. The independence of the horizontal and vertical components of the motion of the object is often used in these type of physics problems.
It also accounts for the counterintuitive observation that a bullet fired horizontally from a gun takes the same time to fall to the ground as a bullet that is dropped from the same height.
vector components
To be able to solve projectile problems you will often need to resolve the motion into its components.
vx=v0cos(θ)(1)
vy=v0sin
One of the most important things to remember about projectile motion is that the effect of gravity is independent on the horizontal motion of the object. The independence of the horizontal and vertical components of the motion of the object is often used in these type of physics problems.
It also accounts for the counterintuitive observation that a bullet fired horizontally from a gun takes the same time to fall to the ground as a bullet that is dropped from the same height.
vector components
To be able to solve projectile problems you will often need to resolve the motion into its components.
vx=v0cos(θ)(1)
vy=v0sin
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