How High and Fast Does a Grasshopper Jump at a 44° Angle?

Thread starter Raul-7
Start date Feb 20, 2008
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Motion

AI Thread Summary

To determine the initial speed of a grasshopper that jumps 1.00 m at a 44° angle, the horizontal distance formula is applied, leading to the equation t = Dx / (vi cos 44). The next step involves calculating the time of flight using the horizontal distance and the initial speed. Additionally, the maximum height reached by the grasshopper can be found using kinematic equations that incorporate the initial vertical velocity component. The discussion highlights the need for further guidance on solving these equations effectively. Understanding these calculations is essential for accurately determining the grasshopper's jump dynamics.

Feb 20, 2008

Raul-7

A grasshopper jumps 1.00 m from rest, with an initial velocity at a 44.0° angle with respect to the horizontal.
(a) Find the initial speed of the grasshopper.
(b) Find the maximum height reached.

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Feb 20, 2008

Raul-7

From the formula I got t=Dx/vi cos 44. Now I do not know how to go on from here.

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