What is the final velocity of a tossed rock falling into a hole?

In summary, kinematics in physics is the study of an object's motion without considering the forces that cause it. The basic equations of kinematics include those for position, velocity, and acceleration. Speed is a scalar quantity that measures an object's rate of distance covered, while velocity is a vector quantity that considers both speed and direction. Average velocity is calculated by dividing the change in position by the change in time. Acceleration can either speed up or slow down an object's motion, and when it is constant, the object's velocity changes by the same amount in each time interval.
  • #1
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Homework Statement


A rock is tossed straight up with a velocity of When it returns, it falls into a hole deep.
What is the rock's velocity as it hits the bottom of the hole?


Homework Equations





The Attempt at a Solution

 
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  • #2
What have you tried?
When the ball returns to it's original launch height it's velocity will be that with which it was launched with but in the opposite direction.
If you know the depth of the hole, you should then be able to compute the ball's final velocity using a kinematic relation.
 

Related to What is the final velocity of a tossed rock falling into a hole?

1. What is kinematics in physics?

Kinematics in physics is the branch of mechanics that studies the motion of objects without considering the forces that cause the motion. It involves analyzing the position, velocity, and acceleration of an object as it moves through space and time.

2. What are the basic equations of kinematics?

The basic equations of kinematics include the equations for position, velocity, and acceleration, which are:

  • Position (x) = x0 + v0t + ½at2
  • Velocity (v) = v0 + at
  • Acceleration (a) = (v - v0) / t

3. What is the difference between speed and velocity?

Speed is a scalar quantity that measures the rate at which an object covers distance. Velocity is a vector quantity that measures the rate of change of an object's position in a particular direction. In other words, velocity includes both the speed and direction of an object's motion.

4. How do you calculate average velocity?

The average velocity of an object is calculated by dividing the change in position (x) by the change in time (t):

Average velocity = (x2 - x1) / (t2 - t1)

5. How does acceleration affect an object's motion?

Acceleration is the rate of change of an object's velocity. It can either speed up or slow down an object's motion, depending on whether the acceleration is in the same direction or opposite direction as the velocity. When an object experiences constant acceleration, its velocity changes by the same amount in each time interval.

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