Solve Throw Up Problem: 15m, +12m/s & -12m/s

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Homework Help Overview

The problem involves two rocks being thrown from a height of 15 meters, one upwards at +12 m/s and the other downwards at -12 m/s. The task is to determine the time it takes for each rock to hit the ground and their respective impact velocities, while ignoring air resistance.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the equation used to determine the time of flight and question its application to each rock. There is a focus on clarifying the sign convention for displacement and velocity, as well as the direction of gravitational acceleration.

Discussion Status

Some participants have offered guidance on checking the sign convention and clarifying the net displacement. There is an ongoing exploration of the implications of these conventions on the calculations, but no consensus has been reached on the correct approach yet.

Contextual Notes

Participants are considering the effects of sign conventions and the direction of forces, which may influence the setup of their equations. There is an emphasis on ensuring that the correct assumptions are made regarding the motion of the rocks.

nic0le
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Homework Statement


Two rocks are thrown off the edge of a cliff that is 15m above the ground. The first rock is thrown upward, at a velocity of +12m/s. The second is thrown downward, at a velocity of -12.0m/s. Ignore air resistance. Determine how long it takes the first rock to hit the ground and at what velocity it hits. Determine how long it takes the second rock to hit the ground and at what velocity it hits.


Homework Equations





The Attempt at a Solution



15=12t+.5(9.8)t^2

To figure out time I tried v/g=t (12/9.8) but it was coming out saying the answer was wrong.
 
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nic0le said:
15=12t+.5(9.8)t^2

Is that for the first rock or the second?
 
That was for the first rock.
 
Check your sign convention. Take upwards to be positive and downwards negative. Then the velocity is positive, which you have correct. What is the net displacement-- up or down (i.e. should the 12m be positive or negative)? In which direction is the acceleration due to gravity (g) acting? If you get these correct, you should have the right solution.
 

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