Consider a particle on which several forces act, one of which is known to be constant in time: \vec{F}_1=(3~\text{N})\hat{i}+(4~\t ext{N})\hat{j} F ⃗ 1 =(3 N) i ^ +(4 N) j ^ . As a result, the particle moves along a straight path from a Cartesian coordinate of (0 m, 0 m) to (5 m, 6 m). What is the work done by \vec{F}_1 F ⃗ 1 ?

Aparticle initially located at the origin has an acceleration of = 2.00ĵ m/s2 and an initial velocity of i = 8.00î m/s. find (a) the vector position of the particle at any time t (where t is measured in seconds), (b) the velocity of the particle at any time t, (c) the position of the particle at t = 7.00 s, and (d) the speed of the particle at t = 7.00