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mariarad [96]
3 years ago
10

Given the velocity function v of an object moving along a​ line, explain how definite integrals can be used to find the displace

ment of the object
Physics
1 answer:
Sati [7]3 years ago
8 0

Answer:

Expression of displacement will be s(t)=\int_{t_0}^{t}v(t)dt

Explanation:

Let the velocity v(t) is function of time means when time changes then velocity also changes

We have to find the expression of definite integral to find the displacement

Displacement is ti,e integral of velocity in given period of time

Let the object starts moving at time t=t_0 and move to the time t=t

Then displacement is give by

s(t)=\int_{t_0}^{t}v(t)dt

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A bird sits on top of a 639 m tall tower. If it's gravitational potential energy up there is 2033 J, what is its mass?
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The mass of the bird is 0.32 kg.

<u>Explanation:</u>

Gravitational potential energy, the energy exhibited by an object at rest due to the influence of gravitational force. So the increase in distance of object from the surface of earth leads to increase in the gravitational potential energy. Thus,

       \text {Gravitational potential energy}=m \times \text { Acceleration } \times \text { Distance of bird from bottom }

So, as the gravitational potential energy is given as 2033 J and the position of bird placed on the tall tower is 639 m away from the bottom, then the mass (m) of the bird can be found as below.

       m o f \text { bird }=\frac{\text {Gravitational potential energy}}{a \times \text {Distance}}=\frac{2033}{9.8 \times 639}=\frac{2033}{6262.2}

So, finally we get the bird's mass as,

            m of bird = 0.32 kg

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