Question

If X=5t2 Calculate velocity.​

Answer 1

Տ0Ꮮղ:-

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5t²

since 5 is constant with respect to t, the derivative of 5t² with respect to t is

d

5 ────[ t²]

dt

Differentiate using power rule which states is ⇀

d

5 ────[ t^n] is nt ^ n-1

dt

where n = 2

5(2t)

= 10t

multiple 2 by 5

10t

Answer 2

Given:

$x = 5 {t}^{2}$

To find:

Velocity of object ?

Calculation:

• Velocity function can be calculated by differentiation of displacement function with respect to time.

• Let velocity in time t be v.

$x = 5 {t}^{2}$

$\implies \: v = \dfrac{dx}{dt}$

$\implies \: v = \dfrac{d(5 {t}^{2} )}{dt}$

$\implies \: v = 5 \dfrac{d( {t}^{2} )}{dt}$

$\implies \: v = 5 \times 2t$

$\implies \: v = 10t$

So, velocity in time 't' is 10t.