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Question regarding Motion in two or three dimensions.

  • Thread starter nyguy
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  • #1
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I humbly ask if someone can please help me dissect this problem. The problem is worded verbatim and I explained how I initially approached it. Please help.

Homework Statement



Two crickets, Chirpy and Milada, jump from the top of a vertical cliff. Chirpy jumps horizontally and reaches the ground in 3.50s. Milada jumps with an initial velocity of 95.0 cm/s at an angle of 32.0 degrees above the horizontal. How far from the base of the cliff will Milada hit the ground.



Homework Equations


The equations below SHOULD meet the requirements to finding the answer to this problem.

47cdx5w.gif






The Attempt at a Solution



Initially when I approached this problem, it made sense to find the height of the cliff. So, I took the first cricket's time (Chirpy) which was 3.50s and used it to find the height. I used Equation 1. The height that I came up with was 60.025m. In most cases, if not all, the units when dealing with velocity and acceleration problems are usually in meters per second. So, I converted the velocity vector to meters/second and then attempted at finding its corresponding components. After the conversion, 95.0 cm/s is equivalent to .95 m/s. Since this problem is in 2-dimension, I just had to find Vx and Vy, the components of the velocity vector.

The components are as follows:

Vx=(Cos 32) x .95 = .806 m/s

Vy= (Sin 32) x .95 = .503 m/s

Assuming that I'm making the right decision, I made an attempt at finding the second cricket's (Milada) max height when it jumped off of the cliff at a 32 degree angle above the horizontal. I used Equation 4. I have an understanding that when a particle, projectile, or living thing reaches a max height in the air, the velocity is zero due to the constant acceleration pushing down on it. So, I set equation 4 to zero.

These were my calculations:

0=-(.503)^2 + 2(-9.8)(y)
y=.013m

The last thing I did before I was lost was added the max height onto the cliff's height which was 60.038m. I didn't have a clue as to what to do next. How do I find how far from the base of the cliff the second cricket will land?? Do I need to find a new time, a new velocity since the cricket is now in free fall, what?? Please help. :confused:
 

Answers and Replies

  • #2
mjsd
Homework Helper
726
3
ok, you were almost there. all you really needed was how long does it take for the second cricket to hit the ground? So working in the y-direction entirely..you get a total time, then in that time you ask how far can the cricket travelled in the x-direction with initial velocity in x as 0.806m/s?
 

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