Question

Displacement of a particle is given by the expression
$x = 3t ^{2} + 7t - 19$
where x is in metre and t is in seconds
what is acceleration?
Is it depend on time​

Answer 1

Answer:

Step-by-step explanation:

Displacement of a particle is given by

$\tt{x=3\,t^2+7\,t-19}$

Velocity is given by,

$\tt{v=\dfrac{dx}{dt}=3\cdot2\,t+7}$

$\tt{\implies\,v=6\,t+7}$

Acceleration is given by,

$\tt{\implies\,a=\dfrac{dv}{dt}=6}$

Acceleration doesn't depend on time