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To determine the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. If the time is 2.3 s, what is the height of the bridge? Neglect air resistance.

a. 32 m
b. 52 m
c. 26 m
d. 14 m
e. 10 m

Respuesta :

s = 1/2 a t^2 = 1/2 x 9.8 x 2.3^2 = 26m

A stone dropped from a 26 m bridge, takes 2.3 s to reach the water.

A stone is dropped from a bridge and it experiences a uniformly accelerated rectilinear motion. It takes 2.3 s for the stone to reach the water.

We can calculate the height of the bridge, which is equal to the displacement of the stone, using the following kinematic equation.

[tex]s = ut + \frac{1}{2} a t^{2} = (0m/s)(2.3 s) + \frac{1}{2} (9.8m/s^{2} ) (2.3s)^{2} = 26 m[/tex]

where,

  • s: displacement
  • u: initial speed (0 m/s)
  • t: time
  • a: acceleration due to gravity (9.8 m/s²)

A stone dropped from a 26 m bridge, takes 2.3 s to reach the water.

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