Question

A particle initially located at the origin has an acceleration of = 2.00 m/s2 and an initial velocity of i = 8.00 m/s.
(a) Find the vector position of the particle at any time t (where t is measured in seconds).
( _ t + _ t2 ) m

(b) Find the velocity of the particle at any time t.
( _ + _ t ) m/s

(c) Find the coordinates of the particle at t = 1.00 s.
x = m
y = m

(d) Find the speed of the particle at t = 1.00 s.
m/s

Answer 1

Position is given by:
\[\vec{r}(t)=\vec{r_0}+\vec{v_0}t+\frac{1}{2}\vec{a}t^2\]
With constant acceleration and no air resistance and things.