Question

The position of a particle of mass 1 kg changes with time which is given by the relation 8(t) = 318-2Vt, where t is in seconds. What will be the force experienced by the particle at time 2 sec ?​

Answer 1

Answer:

Given, x=2t

3

+3

⇒dx=6t

2

⇒a=

dt

2

d

2

x

⇒a=12tAnd,Force=1×12t=12t

So, the word done in first two second =∫Fdx

⇒W=∫

0

2

72t

3

=288J

Explanation:

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Answer 2

Solution
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Verified by Toppr
Given, x=2t
3
+3
⇒dx=6t
2


⇒a=
dt
2

d
2
x
​


⇒a=12tAnd,Force=1×12t=12t
So, the word done in first two second =∫Fdx

⇒W=∫
0
2
​
72t
3

=288J