2. The velocity of an object in motion is given by the function y(t)=-78.4t + 288 where vt is the velocity of the object in meters per second at time t. B. After how many seconds does the object momentarily come to rest and then change directions?

t = 3.7 seconds

Step-by-step explanation:

Linear Modeling

The velocity of an object is modeled by the function

v(t) = -78.4t + 288

Where v is expressed in m/s and t is expressed in seconds.

The velocity is a vector, therefore its sign indicates its direction. If the object is at rest, then its velocity has a magnitude of zero.

To find when the object comes to rest, we set the velocity to 0:

-78.4t + 288 = 0

Now solve for t. Subtracting 288:

-78.4t = -288

Dividing by -78.4:

t = -288 / -78.4

t = 3.7 seconds

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.