The Asian Silver Carp is an invasive species of fish which has infested a number of American rivers. The disturbance of passing boats has been known to make these fish leap large distances out of the water. One such fish leaps with an initial velocity at the water's surface of 11.0 m/s at an angle of 34.0° above the horizontal. How high above the water's surface, in meters, does the fish reach?

Question

Physics

Dalia Carrillo

8 February, 00:53

The Asian Silver Carp is an invasive species of fish which has infested a number of American rivers. The disturbance of passing boats has been known to make these fish leap large distances out of the water. One such fish leaps with an initial velocity at the water's surface of 11.0 m/s at an angle of 34.0° above the horizontal. How high above the water's surface, in meters, does the fish reach?

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Answers (1)

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Nugget · Answer 1

1.93 m

Explanation:

Initial velocity of fish u = 11 m / s

Angle of jump = 34 degree.

Vertical component of its velocity = u sin34 = 11 x. 5592 = 6.15 m / s

Considering its motion in vertical direction,

u = 6.15 m/s

g = - 9.8 m / s

maximum height attained = h

From the formula

v² = u² - 2gh

0 = 6.15x 6.15 - 2 x 9.8 h

h = (6.15 x 6.15) / 2 x 9.8

= 1.93 m.