Particle one's position as a function of time is given byr1(t) = 1 t2i+ -1 t3j(m).Particle two is at rest atr2= -7i+ -1j(m).Calculate the distance between the particles at t = 2 s.

A particle's position as a function of time is given byr(t) =( -5.8 t1- 5)i+ (4.9 t4+ 4)j(m).Calculate the y-component of it's velocity, in m/s, at t = 3 s.

A particle's position as a function of time is given byr(t) = -0.9 t4i+ -5.1 t5j(m).Calculate themagnitudeof its acceleration, in m/s2, at t = 4 s.

A particle's position as a function of time is given byr1(t) = 7.8 t5i+ -8 t1j(m).Calculate its speed, in m/s, at t = 9 s.