PHYSICS QUESTION please helpcant figure out

Question

A 4.60 kg particle moves along the x axis. Its position varies with time according to x = t + 1.8t3, where x is in meters and t is in seconds

 

(a) Find the kinetic energy at any time t. (Accurately round any coefficient to exactly two decimal places. Use t as necessary.

K=  ______J

 

 

(b) Find the acceleration of the particle and the force acting on it at time t. (Accurately round any coefficient to exactly two decimal places. Use t as necessary.)

a=_____________m/s2

F=_____________N

 

 

 

(c) Find the power being delivered to the particle at time t. (Accurately round any coefficient to exactly two decimal places. Use t as necessary.)

 

P=__________W

 

 

 

 

 

 

 

 

Answer 1

I believe that you need to differentiate, because v(t) = x'(t) and a(t) = v'(t).

 

Then of course, you'll calculate K.E. from ½mv² etc...