Question

A body starts from rest at $t=0$, the acceleration time graph is shown. The distance travelled by the body from $t=4\text{s}$ to $t=8\text{s}$ will be

• A. $0\text{m}$
• B. $16\text{m}$
• C. $32\text{m}$
• D. $64\text{m}$

Answer 1

The correct option is D $64\text{m}$

$a_1=4{\text{m/s}}^2$
$t=4\text{S}$
$v=?$
$u=0$
$v=u+at$
$=0+4\times 4$
$=16\text{m/s}$

To calculate the distance we need to calculate the area under the graph
Therefore area under the graph is $=4\times 16=64\text{m}$