Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

During a fireworks show, a rocket is fired vertically upward with an initial velocity of 200 meters per second. The height in meters, s, of the rocket in seconds, t, may be approximated by s = 200t – 5t2. The rocket must be at least 1,500 meters in the air to safely explode. In which time interval may it safely be exploded?
A.0 ≤ t ≤ 10 seconds
B.10 ≤ t ≤ 30 seconds
C.10 ≤ t ≤ 40 seconds
D.30 ≤ t ≤ 40 seconds

Sagot :

maryhumphrey218

Answer:

The rocket can safely explode in 10 ≤ t ≤ 30 seconds (see the last line of explanation).

Step-by-step explanation:

The height of the rocket is shown by , where t is the time in seconds.

. The height will be maximum when,  that is .

At t = 20, s = 4000 - 2000 = 2000.

The rocket can go 2000 meter maximum.

In order to explode safely, the rocket must be in a height equal or above 1500 meter.

When s = 1500,

Hence, at , the height .

Step-by-step explanation:

i hope this answer your question if this is wrong or correct please let me know.

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.