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Standard XII

Mathematics

Derivative from First Principle

An object is ...

Question

An object is moving with uniform acceleration $a$ . Its initial velocity is $u$ and after time $t$ its velocity is $v$ . The equation of its motion is $v = u + a t$ . The velocity (along y-axis) and time (along x-axis) graph shall be a straight line

passing through origin

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with x-intercept

u

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with y-intercept

u

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with slope

u

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Solution

The correct option is B with y-intercept $u$
$v = u + a t$
from the above graph we can observe that the y-intercept is u.

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An object is moving with uniform acceleration a. Its initial velocity is u and after time t its velocity is v. The equation of its motion is v=u+at . The velocity (along y-axis) and time (along x-axis) graph shall be a straight line

The correct option is B with y-intercept uv=u+atfrom the above graph we can observe that the y-intercept is u.

An object is moving with uniform acceleration $a$ . Its initial velocity is $u$ and after time $t$ its velocity is $v$ . The equation of its motion is $v = u + a t$ . The velocity (along y-axis) and time (along x-axis) graph shall be a straight line

The correct option is B with y-intercept $u$
$v = u + a t$
from the above graph we can observe that the y-intercept is u.