Question

pls answer Q7
explain properly​

Answer 1

Q7)

y(displacement) = a+bt+ct²-dt²

We know, differentiation of displacement gives instantaneous velocity so,

v= dx/dt = dy/dt = da+bt+ct²-dt⁴/dt

=>0+b+2ct-4dt³

v =>b+2ct-4dt³

Initial Velocity means t =0

so,

Initial Velocity = b+0+0 = b

Now, again, differentiation of velocity gives acceleration so,

a = dv/dt =db+2ct-4dt³/dt

=>0+2c = 2c

so, the correct option is (3) b,2c

Cheers!