What's the definition of acceleration?

Classical Mechanics Level 1

The displacement $x$ of a particle along the $x$ -axis is given by $x=73+65t^2-10t$ where $t$ is the time parameter. What is the acceleration of the particle?

The answer is 130.

2 solutions

Abishek Nathan
Apr 1, 2015

To find accleration, differentiate the equation of displacement two times

Hrishik Mukherjee
Apr 1, 2015

Acceleration = d/dt * dx/dt

d/dt (65t^2 - 10t + 73) = 130t - 10

d/dt (130t - 10) = 130

It's not d/dt

Edit :

$\frac{dx}{dt}=v$ and $\frac{dv}{dt} = a$

Vaibhav Prasad - 6 years, 2 months ago

d^2x/(dt)^2 means the same thing :)

Hrishik Mukherjee - 6 years, 2 months ago

did you try this

Vaibhav Prasad - 6 years, 2 months ago

@Vaibhav Prasad – IDK how to solve diophantine equations.. Saved for solving later :(

Hrishik Mukherjee - 6 years, 2 months ago

What's the definition of acceleration?

The answer is 130.

2 solutions

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