Question

A Porsche undergoing uniformly accelerated motion can go from $0\text{km}/\text{h}$ to $100\text{km}/\text{h}$ in $10\text{s}$. What is its instantaneous acceleration?

• A. $2.77{\text{m/s}}^2$
• B. $3.66{\text{m/s}}^2$
• C. $-3.66{\text{m/s}}^2$
• D. $0{\text{m/s}}^2$

Answer 1

The correct option is A $2.77{\text{m/s}}^2$

$100\text{km}/\text{h}$ $=\frac{1000}{36}\text{m/s}$

$v=u+at$

$\to a=\frac{v-u}{t}$

$\therefore$ instantaneous acceleration
$a=\frac{\frac{1000}{36}-0}{10}{\text{m/s}}^2$
$=\frac{100}{36}$ $=2.77\text{m}/{\text{s}}^2$