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The displacement of a body is given by 2s = gt2 where g is a constant. The velocity of the body at any time t is
- a)gt
- b)gt/2
- c)gt2/2
- d)gt3/3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The displacement of a body is given by 2s = gt2where g is a constant. ...
s=gt^2/2
v= s’=( gt^2/2) = gt
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The displacement of a body is given by 2s = gt2where g is a constant. ...
Given:
The displacement of a body is given by 2s = gt^2, where g is a constant.
To find:
The velocity of the body at any time t.
Solution:
To find the velocity of the body, we need to differentiate the given displacement equation with respect to time.
Differentiating both sides of the equation:
We have 2s = gt^2
Differentiating both sides with respect to time t, we get:
2(ds/dt) = 2gt
Simplifying the above equation, we get:
(ds/dt) = gt/2
Therefore, the velocity of the body at any time t is given by gt/2.
Answer:
The correct option is A) gt.
The displacement of a body is given by 2s = gt^2, where g is a constant.
To find:
The velocity of the body at any time t.
Solution:
To find the velocity of the body, we need to differentiate the given displacement equation with respect to time.
Differentiating both sides of the equation:
We have 2s = gt^2
Differentiating both sides with respect to time t, we get:
2(ds/dt) = 2gt
Simplifying the above equation, we get:
(ds/dt) = gt/2
Therefore, the velocity of the body at any time t is given by gt/2.
Answer:
The correct option is A) gt.
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