If the velocity of a body related to displacement is given by , then the acceleration of the body is .

Question

If the velocity of a body related to displacement  is given by , then the acceleration of the body is  .

Canvas Classes · Accepted Answer

🧠 Velocity Given as  — Use

Read this carefully. Velocity is given as a function of position , not time. The acceleration formula you normally use, , will not work directly because  has no  in it.

The right form here is the chain-rule version:

That is the first thing to write any time you see velocity as a function of position. Drill this. Without it, you are stuck.

Also useful here: if , then , and differentiating gives . Multiply both sides by... actually just multiply both sides by  an

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