10 m dive. Time and horizontal displacement is known.

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SUMMARY

The discussion focuses on calculating the initial velocity and angle of a diver jumping from a 10 m platform, with a time in the air of 2.3 seconds and a horizontal displacement of 4 m. The diver's initial velocity (Vo) is determined to be 7.37 m/s, and the angle (θ) is calculated using the tangent function, resulting in θ = tan-1(4.1). The equations used include horizontal displacement (Vo cos θ t) and vertical displacement (Vo sin θ t - 1/2 g t2), with gravitational acceleration (g) assumed to be 10 m/s2.

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Homework Statement


A diver jumps from a 10 m platform.Time in air is 2.3 s. Horisontal displacement is 4 m.
What is the divers initial velocity and angle?

Homework Equations


No idea :'(

The Attempt at a Solution


No idea :'(
 
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suppossed initial velocity as Vo and angle is θ. horisontal displacement = Vo cosθ t. so that Vo cosθ = 40/23. vertical displacement = Vo sinθt - 1/2 g t2. so that Vo sinθ = 329/46 (for g=10). by comparison with Vo sin θ and Vo cos θ obtained tan θ = 4,1. in such a way that θ = tan-1 4,1. and Vo = 7,37.
 

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