(Solved): a. Graph the position function. b. Find and graph the velocity function. When is the object station ...

a. Graph the position function. b. Find and graph the velocity function. When is the object stationary, moving to the right, and moving to the lem? c. Determine the velocity and accoleration of the object at \( \mathrm{t}=1 \) d. Determine the acceleration of the object when its velocity is zero. e. On what intervals is the speed increasing? \[ t(t)=3 t^{2}-4 t 0 \leq t \leq 5 \] a. Graph the position function. Choose the correct graph below. b. \( v(1)= \) Graph the velocity function. Choose the correct graph below. Time Remaining: \( 02: 01: 57 \) \( t=\quad \) (Simplify your answer. Use a comma to separate answers as needed.) When is the object moving to the right? The object is moving to the right on (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) When is the object moving to the left? The object is moving to the left on (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) c. The velocity of the object at \( t=1 \) is (Simplify your answer.) The acceleration of the object at \( t=1 \) is (Simplify your answer.) d. The acceleration of the object when its velocity is zero is (Simplify your answer.) e. On what intervals is the speed increasing? The speed is increasing on the interval(s) (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed )