Question

An object is moving along x axis in such a way that its displacement is given by x= 30+ 20t square where x is in metres and t is in seconds find velocity and acceleration and what arr the initial position and the velocity of the object

Answer 1

Answer:

initially distance = 30 m and initial velocity is 0

velocity is a function of time as derived in the figure

see pic for answer and explanation.

Answer 2

The calculation is as follows :

Explanation:

An object is moving along x axis in such a way that its displacement is given by :

$x= 30+ 20t^2$

Where x is in meters and t is in seconds

At initial position, t = 0

x = 30 meters

Velocity,

$v=\dfrac{dx}{dt}\\\\v=\dfrac{d(30+ 20t^2)}{dt}\\\\v=40t$

At t = 0 s

Velocity, v = 0

Acceleration,

$a=\dfrac{dv}{dt}\\\\a=\dfrac{d(40t)}{dt}\\\\a=40\ m/s^2$

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Distance, velocity and acceleration

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