Motion of a Particle Is Given By $x=t^{2}-3 t, \quad y=2 t^{3}-3 t$

question 45

Short Answer

Motion of a particle is given by $x=t^{2}-3 t, \quad y=2 t^{3}-3 t$ where t is time in minutes.Find the instantaneous speed of the particle at t = 3.Round to 2 decimal places.

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Definitions:

Purely Competitive Market

A purely competitive market is characterized by many buyers and sellers, homogenous products, and no barriers to entry or exit, leading to price taking behavior by individuals.

Equilibrium

A state of balance where demand and supply in a market are equal, leading to a stable price.

Creative Destruction

A concept in economics that refers to the process by which new innovations trigger the demise of older technologies and economic structures, leading to economic evolution.

Dominant Firms

Companies that hold a significant share of market power in their industry, often able to influence market conditions and prices.