Question

An object is moving with an initial velocity of $5\text{m/s}$. It starts accelerating with an acceleration of $2.5{\text{m/s}}^2$. Calculate the displacement of the object after $10\text{s}$.

• A. $50\text{m}$
• B. $125\text{m}$
• C. $150\text{m}$
• D. $175\text{m}$

Answer 1

The correct option is D $175\text{m}$

Given,
Initial velocity, $\text{u}=5\text{m/s}$
Acceleration, $\text{a}=2.5{\text{m/s}}^2$
Time taken, $\text{t}=10\text{s}$

Let the displacement be $\text{s}$
We know, $\text{s}=\text{ut}+\frac{1}{2}{\text{at}}^2$
Therefore, $\text{s}=(5\times 10)+(\frac{1}{2}\times 2.5\times {10}^2)$
$\text{s}=50+125$
$\text{s}=175\text{m}$
The displacement of the object after $10\text{s}$ is $175\text{m}$.