Question

The vector position of a particle varies in time according to the expression r with arrow = 6.60 i − 9.00t2 j where r with arrow is in meters and t is in seconds.
(a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
v with arrow =
m/s

(b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
a with arrow =
m/s2

(c) Calculate the particle's position and velocity at t = 5.00 s.
r with arrow =
m
v with arrow =
m/s

Answer 1

Do you know calculus?
a) take the first derivative of position to get velocity.
p(t)=6.60 i − 9.00t^2 j
v(t)=0i -18t j

b. velocity given above, so acceleration is dv/dt or
a(t)=-18 j

c. put in t=5 and calculate.