Question

A particle starts moving with speed 3m/s and accelerates for 5 seconds with acceleration 2m/s^2.Find the displacement of the particle??

Answer 1

A particle starts moving with speed $3\mathrm{m/s}$ and accelerates for 5 seconds with acceleration $2\mathrm{m/s}^2$. Find the displacement of the particle?

Solution

Let's find the displacement of the particle $d$ using the formula for displacement:

$$d = v_0 t + \frac{a t^2}{2},$$

where $v_0$ – the initial speed of the particle, $t$ – time and $a$ – the acceleration.

$$d = 3 * 5 + 2 * \frac{5^2}{2} = 40 \, \text{m}.$$

Answer: $40 \, \text{m}$.