Calculating Jump Time of a Star in the Long Jump

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To calculate the jump time of a star in the long jump, the initial velocity is 12 m/s at an angle of 20 degrees. The correct approach involves using the vertical component of the initial velocity and accounting for both ascent and descent. The formula 0 = (12)sin(20) - (9.81)(t) helps determine the time to reach the peak, which is approximately 0.4188 seconds. Doubling this value for the total airtime results in approximately 0.8376 seconds. The discussion clarifies the importance of including both ascent and descent in the calculation.
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Homework Statement


A star in the long jump goes into the jump at 12 m/s and launches herself at 20.0 degrees above the horizontal. How long is she in the air before returning to Earth? (g=9.81 m/s2)



Homework Equations


first I look for the v0(cos) and then I look for vfy= v0(sin)
I used vfy/g and I don't get the answer. I have the answer which is .83 s
but I can't get it on my own...


The Attempt at a Solution



I used vfy/g to get the time, but I don't get the correct answer I get .4
 
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Makaroon said:

Homework Statement


A star in the long jump goes into the jump at 12 m/s and launches herself at 20.0 degrees above the horizontal. How long is she in the air before returning to Earth? (g=9.81 m/s2)

You probably just forgot the downfall time. Here's what the setup is like for finding the half-time in the air.
0 = (m)(v) - (F)(t)
Add a sine function to represent the vertical velocity
0 = (m)(v)sin(theta) - (m)(g)(t)
factor out the mass and start filling in values
0 = (12)sin(20) - (9.8)(t)
t = 0.4188 going up
Add another 0.4188 for the going down to get a total of 0.8376 seconds.
 
thanks! yes I get it now, I was forgetting to multiply the time with the gravity.
thanks again. :)
 
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