A particle moves along x -axis in such a way that its x -co-ordinate varies with time according to e

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2.Motion in Straight Line

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A particle moves along $x$-axis in such a way that its $x$-co-ordinate varies with time according to the equation $x=4-2 t+t^2$. The speed of the particle will vary with time as

A

B

C

D

Solution

(a)

$x=4-2 t+t^2 \Rightarrow \frac{d x}{d t}=-2+2 t$

$v=2 t-2 \rightarrow$ Straight line

Slope $\rightarrow$ Positive

Intercept $\rightarrow$ Negative

Standard 11

Physics

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