Consider the following position function. Find (a) the velocity and the speed of the object and (b) the acceleration of the object r(t) = (3t 6,6t - 5,2 + 3t) for t greater than equal to 0. a. What is the velocity of the object? v(t) = What is the speed of the object? |v(t)| = b. What is the acceleration of the object? a(t) =

Step-by-step explanation:

Given that the position vector of a moving body at time t is

Velocity is the derivative of acceleration

v(t) = , t positive

Speed would be the magnitude of the velocity and will not have direction

Speed =

Acceleration of the object

a(t) = derivative of velocity of vector

=

i.e. acceleration would be in the direction of x axis alone.

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

~just a girl in love with shawn mendes

m∠a is 90°

m∠b is 40°