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pentagon [3]
3 years ago
9

A grasshopper jumps at a 65.0 degree angle at 5.42m/s. At what time does it reach its maximum height?

Physics
2 answers:
dimulka [17.4K]3 years ago
8 0

Answer:

A grasshopper reached the maximum height 1.23 m.

Explanation:

Given that,

Velocity = 5.42 m/s

Angle = 65.0°

We need to calculate the maximum height

Using formula of maximum height

y_{max}=\dfrac{v^2\sin^2\theta}{2g}

Where, v = 5.42 m/s

g = acceleration due to gravity

\theta  =Angle

Put the value into the formula

y_{max}=\dfrac{5.42^2\times\sin^2(65.0)}{2\times9.8}

y_{max}=1.23\ m

Hence, A grasshopper reached the maximum height 1.23 m.

crimeas [40]3 years ago
6 0
When the grasshoppers vertical velocity is exactly zero.
v = -g•t + v0.
v: vertical part of velocity. Is zero at maximum height.
g: 9.81
t: time you are looking for
v0: initial vertical velocity
Find the vertical part of the initial velocity, by using the angle at which the grasshopper jumps.
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