Question

A particle p is moving along the x-axis the displacement x metres from O can be writen as x=t^5-12t²+9 find the velocity

Answer 1

Answer:

$v = t (5t^{3} - 24)$

Step-by-step explanation:

We are given an expression to solve for the displacement (x), so in order to find velocity (v), we need to differentiate the function.

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Solving :

⇒ $\frac{dx}{dt} = \frac{d}{dx} (t^{5} - 12t^{2} + 9)$

⇒ $v = (5)t^{5-1} - (2)12t^{2-1} + 0$

⇒ $v = 5t^{4} - 24t$

⇒ $v = t (5t^{3} - 24)$

Using this equation, we can find the velocity if a value of t is given.