The horizontal range is the total horizontal distance covered during the time of flight R=ux⋅Tcap R equals u sub x center dot cap T
v2rg=sinθ+μcosθcosθ−μsinθthe fraction with numerator v squared and denominator r g end-fraction equals the fraction with numerator sine theta plus mu cosine theta and denominator cosine theta minus mu sine theta end-fraction Dividing the numerator and denominator by gives the maximum safe speed:
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This comprehensive guide compiles all the essential derivations across the Class 11 physics syllabus, breaking them down step-by-step for clear understanding and easy revision. Unit 1: Kinematics all important derivations of physics class 11 pdf download
Most teachers give "Or" questions. Example: Derive Banked Road OR Derive Centripetal Acceleration. Never leave two optional derivations unstudied. Prepare the easier one perfectly.
a=dvdt=dvds⋅dsdt=vdvdsa equals d v over d t end-fraction equals d v over d s end-fraction center dot d s over d t end-fraction equals v d v over d s end-fraction : Rearranging terms gives . Integrate within appropriate limits:
States that work done by a net force on a body equals the change in its kinetic energy. Small work done: Substitute The horizontal range is the total horizontal distance
) against this restoring force to change the spring's length by an infinitesimal distance
τ=−mg⋅(Lsinθ)≈−mgLθtau equals negative m g center dot open paren cap L sine theta close paren is approximately equal to negative m g cap L theta We also know . Equating the torques:
y=(usinθ)t−12gt2y equals open paren u sine theta close paren t minus one-half g t squared Substitute the value of into the vertical displacement equation: Unit 1: Kinematics Most teachers give "Or" questions
: A detailed 40-item list covering bulk matter properties, gravitation, and oscillations. View/Download on Scribd
If you want to make physics derivations , try these hacks:
The three fundamental equations of motion assume a constant acceleration ( 1. First Equation:
[v]uv=a[t]0t⟹v−u=at⟹v=u+atopen bracket v close bracket sub u to the v-th power equals a open bracket t close bracket sub 0 to the t-th power ⟹ v minus u equals a t ⟹ v equals u plus a t Second Equation:
Acceleration is defined as the instantaneous rate of change of velocity: a=dvdta equals d v over d t end-fraction Rearranging the terms to integrate: dv=a⋅dtd v equals a center dot d t Integrate both sides within the proper limits. At time , velocity is initial velocity ( ). At time , velocity is final velocity (