The maximum height that is reached by an object thrown or jumped at a certain initial velocity can be calculated through the equation,
2ad = Vf² - Vi²
Vf is zero (0) in this equation because this is the point at the velocity at the maximum height of the object.
Substituting the known values,
2(a)(-16) = 0 - (3.6)²
The value of a from the equation is 0.405 m/s².
<em>Answer: 0.405 m/s²</em>
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Force equals mass time acceleration. Weight is a force and it can replace force in the equation. The acceleration would be gravity, which is an acceleration.
1.)
Fw (weight) = m (mass) · g (gravity, 9.8 m/s²)
Fw = m * 9.81 m/s²
560N = m · 9.81 m/s²
m ≈ 57.08 kg
2.)
d = 350 meters
t = 65 seconds
velocity = d/t
velocity = 350 meters / 65 seconds
velocity ≈ 5.38 meters/sec
3.)
Force = 35N
Distance = 2 meters
Work = Force · Distance
Work = 35N · 2 meters
Work = 70 J