If the equation describing the motion of a rocket is
x = 10 + 5t^2, write an expression for the instantaneous speed of the rocket. What is the instantaneous speed at 5 s. What is the acceleration?

WHere do I begin? Do I need to take the integral anywhere?

Question

If the equation describing the motion of a rocket is 
x = 10 + 5t^2, write an expression for the instantaneous speed of the rocket. What is the instantaneous speed at 5 s. What is the acceleration?


WHere do I begin? Do I need to take the integral anywhere?

anonymous · Answer

just derivate equation wrt x
to get instantaneous speed

a).then put value of t=5
you will have answer
b). again derivate wrt x u will have acceleration

anonymous · Answer

Yes.  Velocity = dx/dt
        acceleration = d^2 x/dt^2

anonymous · Answer

v(t)=dx(t)/dt and a(t)=dv(t)/dt where x(t)=10+5t^2

anonymous · Answer

okay...thanks!!! mwah!! :)

anonymous · Answer

well thank you :)