Question

Displacement of a particle is given by the expression x = 3t2 + 7t – 9, where x is in meter and t is in seconds. What is acceleration?​

Answer 1

Answer:

acceleration = \frac{ d^{2} x}{d t^{2} }

dt

2

d

2

x

x = 3t² + 7t - 9

\frac{dx}{dt}= \frac{d}{dt}(3 t^{2} +7t-9)=6t+7

dt

dx

=

dt

d

(3t

2

+7t−9)=6t+7

\frac{ d^{2} x}{d t^{2} }

dt

2

d

2

x

= \frac{d}{dt}( \frac{dx}{dt} ) = \frac{d}{dt}(6t-7) = 6

dt

d

(

dt

dx

)=

dt

d

(6t−7)=6

Thus acceleration is 6m/s²

Answer 2

jaldi bata diyo answer