The equation bold r (t )equals(8 t plus 9 )bold i plus (2 t squared minus 8 )bold j plus (6 t )bold k is the position of a particle in space at time t. find the particle's velocity and acceleration vectors. then write the particle's velocity at t equals 0 as a product of its speed and direction.

Explanation:

It is given that, the position of a particle as as function of time t is given by :

Let v is the velocity of the particle. Velocity of an object is given by :

So, the above equation is the velocity vector.

Let a is the acceleration of the particle. Acceleration of an object is given by :

At t = 0,

Hence, this is the required solution.

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.

i really dont know but i will try okay.

so i think u would just add all them up and get your answer..