Question

if a force is given by f=at+bt3 what will be the dimensions a and b

Answer 1

The speed (v) of an object is given by an equation, v=At^3—Bt, where t refers to time. What are the dimensions of A and B?

At^3 and Bt should have units m/s, because they total up to evaluate the speed

Here, t is basically the SI unit of time that is s,

So we have

At^3=m/t

A=m/t^4

|A|=LT^-4

Bt=m/s

B=m/s^2

|B|=LT^-2

So we have it!!!!!

Hope it helps