Question

If y represents distance and x represents time dimensions of d2y/dx2 are

Answer 1

Step-by-step explanation:

d2y/dx2

=2y/x2

=y/x

therefore, speed =distance/time

Answer 2

Concept:

Distance is a scalar quantity and it represents the total path covered by the object from starting to ending position. Displacement is a vector quantity and it represents the shortest path covered by the object from start to end position.

Speed is a scalar quantity and it is the rate of change of distance covered by the object in a time. It is also referred to as the magnitude of velocity.

Velocity is a vector quantity and it is the rate of change of displacement covered in a given time.

The variation of velocity with respect to time is called acceleration.

Given

Distance = y.

time = x.

Find

$\frac{d^{2}y }{dx^{2} }$

Solution

The differentiation of distance with respect to time is speed  $\frac{dy}{dx}$.

The change in speed or velocity with respect to time is acceleration $\frac{d^{2}y }{dx^{2} }$.

As a result,  $\frac{d^{2}y }{dx^{2} }$ is the acceleration.