# When is Calculus going to be used in Physics [closed]

Once I read a bit about a pdf on Physics that said without Calculus, then studying Physics is a waste of time. After I stopped reading the pdf, I later got a book about Physics. So far there is no Calculus in it, so when will Calculus be used in Physics?

• Check out Newton’s shell theorem. Jan 3, 2022 at 1:17
• @shawn_halayka I didn't find any calculus when I searched this theorem up.
– user324326
Jan 3, 2022 at 1:19
• How can you describe the motion of a particle inside a gravitational field without differential equations(calculus)? Jan 3, 2022 at 1:21
• en.wikipedia.org/wiki/Newton%27s_law_of_cooling Jan 3, 2022 at 1:35
• At this level, you should focus on algebra and especially geometry. One example of the use of calculus is derivation of the integrated equation for charge in RC circuits. Jan 3, 2022 at 2:45

"When" is probably the wrong question. "By whom" or "from what source" might be better.

While many aspects of physics have a straightforward description with calculus concepts, it is also a hurdle to some. In the US, high school physics is often taught without reference to calculus, and some college-level texts do the same. Usually the description or the introduction of the course will be explicit that calculus knowledge is not required to indicate that it will not be used.

Your text probably does the same. The resources in Recommendations for good Newtonian mechanics and kinematics books will be good ones to look at that use calculus.

It is used in various places for derivations and solving problems such as in the topic of GRAVITATION To derive the gravitational field intensity due to a circular ring , a circular disc , a hollow sphere and a solid sphere .

KINEMATICS(As already mentioned in above answer) For instance ,,In initial level it is taught W=F.s Where, W=work done F= force S=displacement But to express work done as the product of force and displacement is sufficient only when the force which is doing work is constant but when it is variable we use 'integration' which is a part of calculus and then we express work done as

W=∫ Fdr

V(Average velocity)=∆s/∆t

When you have to find the instantaneous velocity (velocity at a particular instant of time )

V(instantaneous velocity)= ds/dt read as derivative of s(displacement) with respect to t(time) here we use some basics of differentiation. Similarly we use derivative to find instantaneous acceleration.

There are numerous examples.