Question

displacement of paticle is s=(t+1)^2 what is velocity of paticle at t=1sec in m/s​

Answer 1

Answer:

Given : Displacement of a particle is x = (t + 1)² :

$\longrightarrow \: \sf x = (t + 1)^{2}$

We are asked to find the velocity of paticle at t = 1 sec in m/s :

$\longrightarrow \: \sf v = \dfrac{dx}{dt}$

$\longrightarrow \: \sf v = \dfrac{d}{dt} (t + 1)^{2}$

$\longrightarrow \: \sf v = 2 (t + 1)^{2 - 1}$

$\longrightarrow \: \sf v = 2 (t + 1)$

$\longrightarrow \: \sf v = 2t + 2$

$\longrightarrow \: \sf v _{t = 1 \: s}= 2(1) + 2$

$\longrightarrow \: \underline{ \underline{\sf v _{t = 1 \: s}= 4 \: {ms}^{ - 1} }}$

Concept :

Instãntaneous Velocity is a velocity of a particle at any iñstant of time .