Question

A rocket is fired upward and its fuel is exhausted in $10\text{sec}$. The figure shows its $v–t$ graph, where $v$ is in $\text{m/s}$ and $t$ is in $\text{sec}$. What is the maximum height reached?

• A. $5000\text{m}$
• B. $10000\text{m}$
• C. $50000\text{m}$
• D. $100000\text{m}$

Answer 1

The correct option is C $50000\text{m}$

As we know that, the maximum height is equal to maximum distance covered by the rocket.
$\Rightarrow H_{max}=$Area under $v-t$ graph
$\Rightarrow H_{max}=\frac{1}{2}\times 100\times 1000$
$\Rightarrow H_{max}=50000\text{m}$