Answer:
2.9 m
Explanation:
First find the time it takes to reach the floor.
y = y₀ + v₀ t + ½ at²
(0 m) = (1.6 m) + (0 m/s) t + ½ (-9.8 m/s²) t²
t = 0.571 s
Next, find the distance it travels in that time.
x = x₀ + v₀ t + ½ at²
x = (0 m) + (5.0 m/s) (0.571 s) + ½ (0 m/s²) (0.571 s)²
x = 2.86 m
Rounded to two significant figures, the marble travels 2.9 meters in the x direction.
We have that for the Question "Dona rolls a marble with a speed of 5.0/m/s across a level table that is 1.6m above the floor" it can be said that the travel in the x direction is
x'=2.85m
From the question we are told
Dona rolls a marble with a speed of 5.0/m/s across a level table that is 1.6m above the floor. Upon reaching the edge of the table it follows a parabolic path to the floor . How far does the marble travel in the x direction
Generally the equation for the kinematic equation is mathematically given as
[tex]x =x_0+v_0x*t+0.5*ax*t^2\\\\0 =1.60+0*t +0.5*(-9.80)*t^2[/tex]
t=0.57s
Therefore
The Horizontal distance
[tex]x=(5.0m/s)*(0.57)[/tex]
x'=2.85m
For the QUestion"How far does the marble travel in the x direction"
x'=2.85m
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