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McDonell
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Homework Statement
Find the angle of the projection for which the maximum height is equal half of the range.
Homework Equations
Kinematic and Projectile motion equations
LadyMario said:I'm working on the same problem. Any help would be appreciated. I've gotten as far as finding R(range)= (Vo^2sin2Theta)/g but how do I find the formula for Max height?
LadyMario said:How did you get that equation for max height?
Kinematic motion is the study of the motion of objects without considering the forces that cause the motion. Projectile motion, on the other hand, involves the motion of objects under the influence of gravity, where the only force acting on the object is its initial velocity.
The basic equations used in kinematic and projectile motion are the equations of motion:
- v = u + at (velocity = initial velocity + acceleration x time)
- s = ut + 1/2at^2 (displacement = initial velocity x time + 1/2 x acceleration x time squared)
- v^2 = u^2 + 2as (final velocity squared = initial velocity squared + 2 x acceleration x displacement)
- s = (u + v)t/2 (displacement = average velocity x time)
These equations are derived from the basic principles of kinematics and the equations of motion. They are based on the concepts of displacement, velocity, acceleration, and time.
Yes, these equations can be used for any type of motion as long as the motion is in a straight line and the acceleration is constant. This includes both linear and projectile motion.
These equations can be applied in various real-life situations, such as calculating the distance traveled by a car or a ball, determining the speed of a moving object, or predicting the trajectory of a projectile. They are also used in fields such as engineering, physics, and sports to analyze and predict the motion of objects.