-5h-3(10+h) = -6
-5h-30-3h = -6
Add/subtract like terms
-8h -30 = -6
Add 30 to both sides
-8h = 24
Divide by -8 to isolate h
h = -3
Answer:
64
Step-by-step explanation:
<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have
, which equals zero when
. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.
<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.
Answer:
Step-by-step explanation:
12.3 + 9.6 = 21.9
Your answer is c, common sense
Answer:
222 ft/sec
Step-by-step explanation:
Essentially you're being asked to find the unit speed (that is, distance per sec).
1000 ft
------------ = 222 feet/sec is the approx. average speed / unit speed
4.5 sec