Projectile Motion Long Jump Help

AI Thread Summary
The discussion focuses on solving a projectile motion problem related to long jump performance. The athlete's takeoff angle is 30 degrees, and they travel a distance of 7.80 meters. Participants are seeking assistance with calculating the takeoff speed and the impact of a 5% increase in speed on jump distance. There are challenges in determining the time of flight and initial velocity using various equations. The thread highlights the need for clarity in applying projectile motion formulas to solve these types of problems effectively.
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An athlete executing a long jump leaves the ground at a 30 degree angle and travels 7.80m.
(a). What was the takeoff speed?
(b). If this speed were increased by just 5.0 percent, how much longer would the jump be?

I'm having some troubles with part a. I've been struggling to comprehend projectile motion and I've been trying to find T using different methods but none of them work. I eventually came up with 9s using cosine, but I can't find initial velocity now. Any advice or tips would be appreciated.
 
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x=(ucos30)t
t=2usin30/g
R=(u^2sin(2*30))/g
 
guys.. can you please help me with this simple problem my instructors gave us for home work... its about projectile motion..

what is the time if the displacement is at 21 meters having a 35degrees angle with the original velocity of 100m/s.
 

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