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A grasshopper jumps at a 58.0°angle, and lands 3.28 m away.What was its initial velocity?(Unit = m/s)

A grasshopper jumps at a 58.0°angle, and lands 3.28 m away.What was its initial velocity-example-1

1 Answer

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Given data

*The given angle is


\theta=58.0^0

*The distance traveled is R = 3.28 m

The formula for the horizontal range is given as


R=(u^2\sin 2\theta)/(g)

*Here g is the acceleration due to gravity

Substitute the values in the above expression as


\begin{gathered} 3.28=(u^2\sin (2*58.0^0))/(9.8) \\ u=5.98\text{ m/s} \end{gathered}

Thus, the initial velocity is u = 5.98 m/s