17.02.2022 the following question

# Apumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. the pumpkins height, h, at time t seconds can be represented by the equation h(t) = -16t^2+ 72t +24.find the maximum height of the pumpkin and the time it takes to reach this point. 11

17.02.2022, solved by verified expert
3 students found this answer helpful

Maximum height =  105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

Where t is the time in second.

Differentiating equation (1) with respect to t,

Again differentiating above equation with respect to t,

For maximum or minimum,    At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,   Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

Maximum height =  105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

Where t is the time in second.

Differentiating equation (1) with respect to t,

Again differentiating above equation with respect to t,

For maximum or minimum,    At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,   Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

### Faq

Mathematics

Jessie scored 2,4,6.... runs

The given sequence is in A.P

nth term of A.P = a+(n-1)d

Here,

a = 2

d = 4-2 = 2

score on 8th day = 2 + (8-1)2

= 2 + 7*2

=16

8th day score will be 16

Mathematics

Normal price of bicycle = \$540

Price at sale = 4/9 of 540

= (4/9) * 540

= 240

Sale price of bicycle = \$240

Mathematics

You don't need a new car .

Mathematics Explanation:
Please refer to the attached table.
The total cost includes the cost of the room and the cost of buffet dinner.
From the given table hotel 5,
The cost of the room for 120 people is found to be \$166 per hour.
The conference will last for 5 hours so the total cost of the room is:
Cost of room=5*\$166=\$830.
From the given table hotel 5,
The cost of the buffet dinner per head is found to be \$30.
Since there are total 120 people so the total cost of dinner is:
Cost of dinner=120*\$30=\$3600;
Total cost=\$830+\$3600=\$4430.
We are given that hotel 5 has recently increased the total chargers by 10%:
Total cost=\$4430*1.10;.
Total cost=\$4,873
Therefore, the booking cost of hotel 5 would be \$4,873.

Mathematics

The answer is in the image Mathematics

The answer is in the image Mathematics

The solution of the given equation is given below Mathematics

Total money denoted = \$162

Ratio in which company denoted = 1:3:5

Sum of ratio =1 + 3 + 5=9

Company B donated = (3/9) * 162

=54

Company B donated \$54

Mathematics  