A juggler tosses a ball into the air. The balls height, h, and the t seconds can be represented by the equation h(t)=16t^2+40t+4. Suppose the juggler missed and the ball hit the ground. Find the maximum height of the ball and the time it took the ball to reach the ground. Round all answers to the nearest hundredth

h= -20

t = -0.104 and -2.39s

Step-by-step explanation:

A juggler tosses a ball into the air. The balls height, h, and the t seconds can be represented by the equation h(t)=16t^2+40t+4. Suppose the juggler missed and the ball hit the ground. Find the maximum height of the ball and the time it took the ball to reach the ground. Round all answers to the nearest hundredth

The velocity of the body at its maximum height is zero

V= dh/dt

dh/dt = 32t + 40

0 = 32t+40

-32t = 40

t = 40/-32

t = -1.25s

Substitute t = -1.25 into the expression

h(t)=16t^2+40t+4.

h(-1.25)=16(-1.25)^2+40(-1.25)t+4.

h = 16(1.5625)-50+5

h = 25-45

h =-20

Hence the maximums height is -20m

The ball will reach the ground at h = 0

Substitute

h(t)=16t^2+40t+4.

0 = 16t^2+40t+4

Divide through by 4

0 = 4t²+10t+1

Factorize

-10±√10²-4(4)/2(4)

t = -10±√100-16/8

t = -10±√84/8

t =-10+9.17/8

t = -0.83/8 and -19.17/8

t = -0.104 and -2.39s

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation:

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: