In addition to the measured errors in the parameters h in the first experiment a
ID: 1536727 • Letter: I
Question
In addition to the measured errors in the parameters h in the first experiment and R in the second, a number of assumptions were also made in the equations. The first experiment neglected the friction in the roller bearings and slippage of the clutch; the second experiment neglected air friction. You can think of other assumptions. List three factors and describe how each would effect the calculated values of vi.
mv (m M)vs conservation of momentum) (m M), (m +M)gh conservation of energy after the collision) Solving the first equation for vr and substituting into the second equation gives r (m M) 2gh This purely kinematic experiment will determine the initial velocity of the projectile. Since the projectile will be launched horizontally and the horizontal distance it travels before striking the floor will be measured along with the projectile's initial vertical height above the floor. The projectile travels in a parabolic arc with a constant horizontal velocity and a constant vertical acceleration. The projectile is in the air for a time t during which it travels a horizontal distance R given by v, is the initial velocity of the projectile. The time the projectile is in the air is determined by the vertical motion governed by the constant acceleration where H is the initial distance of the sphere above the floor and g is the gravitational acceleration. The first equation can be solved for t which can be substituted into the second equation and solved for v to give 2HExplanation / Answer
This downward force and acceleration results in a downward displacement from the position that the object would be if there were no gravity. The force of gravity does not affect the horizontal component of motion; a projectile maintains a constant horizontal velocity since there are no horizontal forces acting upon it.
Kinematics of Projectile Motion
What is a projectile?
A body in free fall that is subject only to the forces of gravity and air resistance
Motion of bodies flung into the air
Occurs in many activities, such as baseball, diving, figure skating, basketball, golf, and volleyball
A special case of linear kinematics
Factors Influencing Projectile Trajectory
What factors influence the trajectory (flight path) of a projectile?
projection angle - the direction of projection with respect to the horizontal
Trajectory shape dependent on angle of projection in absence of air resistance.
If angle perfectly vertical, trajectory also vertical.
If angle oblique, trajectory is parabolic.
If angle horizontal, trajectory is half parabola.
When projection angle and other factors constant, projection speed determines length of trajectory (range).
For vertical projectile, speed determines apex.
For oblique projectile, speed determines height of apex and horizontal range.
When projection speed is constant, greater relative projection height provides longer flight time which increases horizontal displacement.
Taller shot putters can throw farther than shorter ones even if throw with same speed.
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