Respuesta :
The height of the bridge above the water is 49.6 m.
Given that,
- A girl standing on a bridge throws a stone vertically downward with an initial velocity of 15.0 m/s into the river below.
- And, Â the stone hits the water 2.00 seconds.
- The acceleration is [tex]9.8 m/s^2[/tex]
Based on the above information, the calculation is as follows:
[tex]= 15\times 2 + 0.5\times 9.8\times 2^2[/tex]
= 49.6 m
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The height of the bridge is 49.6 m. The height of the bridge can be calculated by kinematic equation.
Â
The height of the bridge can be calculated by this kinematic equation, Â
h = ut + ¹/₂gt²
Where,
u - initial velocity  = 15.0 m/s
t - time = 2 sec
g - gravitationa accelaration  = 9.8 m/s² Â
Put the values in the equation,
h = (15 x 2) + ¹/â‚‚(9.8)(2²) Â
h = 30 + 19.6 Â
h = 49.6 m
Therefore, the height of the bridge is 49.6 m.
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