H(t) = -t2 + t + 12 solve by using quadratic formula

The quadratic formula is:

and

Let's identify our a, b, and c values:

a: -1

b: 1

c: 12

Plug in the values for a, b, and c into the equation. Let's do the first equation:

Simplify everything in the radical:

Simplify the radical:

Combine like terms:

Simplify:

This is one solution, now, let's solve for the other equation:

Since when simplified, everything is the same except the subtraction sign, we can skip the simplification again and change the sign to subtraction:

Combine like terms:

Simplify:

Your final answers are:

a = -1; b = +1; c = 12

Quadratic Formula:

This should be your final answer. So sorry about the capital A if it's in the whole work I did here. I can't get rid of it whenever I put plus and minus sign. I remember saying this and they had a solution for it on but I forgot what that was...

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.