Question

Displacement x of a particle is given by the equation x = 3t²+4t+1,where x is in metre and t is second. find the instantaneous velocity of the particle at t=1s

Answer 1

✪ᴀɴsᴡᴇʀ✪

• Velocity at t = 1 sec is 10 m/s.

★ᴇxᴘʟᴀɪɴᴀᴛɪᴏɴ★

☆ɢɪᴠᴇɴ☆

• Displacement of a a particle is given by $x = 3t^2 + 4t + 1$

☆ᴛᴏ ғɪɴᴅ☆

• Instantaneous velocity at t = 1s.

☆ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴ☆

Instantaneous Velocity of a particle is given by

$\:\:\:\:\:\:\:\: v(t) = \frac{dx}{dt}$

$\implies v(t) = \frac{d}{dt}(3t^2 + 4t + 1)$

$\implies v(t) = 3\times 2t + 4$

$\implies v(t) = 6t + 4$

$\implies v(1) = 6\times 1 + 4$

$\implies v(1) = 10\:m/s$

Answer 2

Answer: Instantaneous velocity  = dx /dt

Step-by-step explanation:

[(dx/dt) (t=1s)] = 6t+4

answer is 10m/s