Question

A car moving with a velocity which is measured each second and the data is recorded as per the table below.

Velocity Time
$0$ $0$
$2m/s$ $1s$
$4m/s$ $2s$
$6m/s$ $3s$
$8m/s$ $4s$
Calculate the distance travelled by object during the first four seconds ?

• A. $8m$
• B. $16m$
• C. $18m$
• D. $24m$
• E. $32m$

Answer 1

Answer: (B)

$16m$

V-t graph is shown above.

Area under the v-t graph gives the distance traveled by the object during that interval.

$\therefore$ Distance traveled in first four seconds = area of the triangle (AOB)

From figure, $AB=8$ m/s $OB=4$ s

$\therefore$ $S=\frac{1}{2}\times AB\times OB=\frac{1}{2}\times 8\times 4=16$ m