Dynamics/Kinematics of Particles Help

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In summary, dynamics and kinematics are two branches of mechanics that focus on different aspects of motion. Kinematics deals with the description of motion, while dynamics deals with the forces that cause motion. The velocity of a particle can be calculated by dividing the change in position by the change in time. Speed and velocity are often used interchangeably, but they have different meanings. Acceleration affects the motion of a particle by changing its velocity over time. Linear motion involves motion in a straight line, while angular motion involves motion around a fixed point or axis.
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[SOLVED] Dynamics/Kinematics of Particles Help

Thanks 2 Tesla... SOLVED :)
 
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Your approach so far is good, but check your integral, it's not correct (or you might have made a typo). Second, the integral gives you v(y), and you know v(y=0) is the initial velocity, which is given in the problem. That allows you to calculate C. Finally, when the bullet is at its final height, its velocity will be zero. This tells you how to find the final height.
 

What is the difference between dynamics and kinematics?

Dynamics and kinematics are both branches of mechanics, but they focus on different aspects of motion. Kinematics deals with the description of motion, including position, velocity, and acceleration, while dynamics deals with the forces that cause motion.

How do you calculate the velocity of a particle?

The velocity of a particle can be calculated by dividing the change in position (displacement) by the change in time. This can be represented by the equation v = Δx/Δt, where v is velocity, Δx is displacement, and Δt is time.

What is the difference between speed and velocity?

Speed and velocity are often used interchangeably, but they have different meanings. Speed is the rate at which an object is moving, while velocity is the rate at which an object is moving in a specific direction. In other words, velocity includes both speed and direction.

How does acceleration affect the motion of a particle?

Acceleration is the rate at which the velocity of a particle changes over time. When a particle experiences acceleration, its velocity either increases or decreases, depending on the direction of the acceleration. This can result in a change in the particle's speed and/or direction.

What is the difference between linear and angular motion?

Linear motion refers to motion in a straight line, while angular motion refers to motion around a fixed point or axis. Linear motion can be described using displacement, velocity, and acceleration, while angular motion can be described using angular displacement, angular velocity, and angular acceleration.

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