An object is moving along a straight line with uniform acceleration. following table gives velocity

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7. MOTION

medium

An object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instants of time

Time $(s)$ $0$ $1$ $2$ $3$ $4$ $5$ $6$

Velocity $\left( m s ^{-1}\right)$ $2$ $4$ $6$ $8$ $10$ $12$ $14$

Plot the graph.

From the graph.

$(i)$ Find the velocity of the object at the end of $2.5 sec$

$(ii)$ Calculate the acceleration.

$(iii)$ Calculate' the distance covered in the last $4$ sec.

Option A

Option B

Option C

Option D

$(i)$ $v=7 m s ^{-1}$

$(ii)$ $\quad a=\frac{v-u}{t}=\frac{14-2}{6}=2 m s ^{-2}$

$(iii)$ $S =$ Area under the graph

$=$ Area of the trapezium $ABCD$

$=\frac{1}{2}[ AD + BC] \times CD$

$=\frac{1}{2}[6+14] \times 4=40 m$

Standard 9

Science

medium

easy

easy

medium

medium

Time $(s)$	$0$	$1$	$2$	$3$	$4$	$5$	$6$
Velocity $\left( m s ^{-1}\right)$	$2$	$4$	$6$	$8$	$10$	$12$	$14$