1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NemiM [27]
1 year ago
10

A ball is launched at 30 meters per second (m/s) from a 20-meter tall platform. The equation for the object's height s at time t

seconds after launch is s(t) = -4.9t^2 + 30t + 20, where S is in meters.
a. What is the maximum height the ball reaches?


b. At what time does the ball reach its maximum height?


c. At what time does the ball hit the ground?
Mathematics
1 answer:
Juliette [100K]1 year ago
4 0

The maximum height the ball reaches is 65.92 m.

The time taken for the ball to reach the maximum height is 3.06 seconds.

The time taken for the ball to hit the ground is 6.12 seconds.

<h3>maximum height the ball reaches</h3>

The maximum height the ball reaches is calculated as follows;

s(t) = -4.9t² + 30t + 20

at maximum height, final velocity = 0

v = 0

ds/dt = -9.8t + 30 = 0

9.8t = 30

t = 30/9.8

t = 3.06 seconds

s(3.06) = -4.9(3.06)²  + 30(3.06)  + 20

s(3.06) = 65.92 m

Thus, the time taken for the ball to reach the maximum height is 3.06 seconds.

<h3>Time of flight of the ball</h3>

The time taken for the ball to hit is the total time of flight = 2 x 3.06 seconds = 6.12 seconds.

Thus, the maximum height the ball reaches is 65.92 m.

The time taken for the ball to reach the maximum height is 3.06 seconds.

The time taken for the ball to hit the ground is 6.12 seconds.

Learn more about maximum height here: brainly.com/question/12446886

#SPJ1

You might be interested in
PLEASE HELP DUE IN 20 MINUTES FIND X AND SHOW YOUR WORK PLEASE
Vlad1618 [11]

Answer:

x = 7°

Step-by-step explanation:

3x° - 53° = x° + 67°

2x° = 14°

x° = 7°

3 0
2 years ago
The price s of a pair of shoes plus 5% sales tax
zzz [600]

An expression for that would be s + 0.05s, or 1.05s.

3 0
2 years ago
An excursion group of four is to be drawn from among 5 boys and 6 girls.
tresset_1 [31]

Answer:

Because you are recounting people several times. Say for example, let us number those people

{1,2,3,4} for the four girls and {1,2…7} for the boys.

One possible combination by your way is to fix one boy and girl each, say

{1,1} and then choose the remaining people. Let this combination be, for the sake of the example, {1,1,2,2,3}. This is a valid combination.

Now, when you fix another combination of a boy and a girl, say {1,2}, you could get the same combination as before because one the combinations while choosing the three remaining people would be {1,2,3}.

A correct way would be to choose  girls and then choose 5− boys for 1≤≤4

So we get ∑4=1(4)(75−)=441

5 0
2 years ago
Read 2 more answers
A teacher has a bag of sweets. If she gives every student 8 sweets, she is left with 24 sweets. If she gives every student 10 sw
alina1380 [7]

Answer:

22

Step-by-step explanation:

<em>Please mark me as brainliest!</em>

3 0
3 years ago
Sum in simplest form.4.3/6+ 2. 1/3 +1.3/4
Citrus2011 [14]
12/6 + 2/3 + 3/4

MMC of 6, 3 and 4 is 12

So 24+8+9/12 = 41/12 = 3,41 approximately.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Miss Perkins buys 1.8 lbs of ground beef to make tacos
    5·1 answer
  • Please help me, I will award brainliest!!
    6·1 answer
  • Megan is making bracelets to sell to earn money for the local animal shelter it takes her 1/4 hour to pick out all the beads and
    13·1 answer
  • 18x-2y=26 I know I have to move 18x over but how would I do that?
    9·2 answers
  • The number 10^55 is how many times the number 2 × 10^11 ?
    8·1 answer
  • April how to travel 105 miles in three hours. If it continue tell me at the same speed, how far would a pronghorn travel in 11 h
    7·1 answer
  • A(8x + 7) what is the value of a
    8·1 answer
  • those are currency exchange rates 1 us dollar = 7.76 hk dollars 1 us dollar =1.47 nk dollars work out the value of 1000 hk dolla
    14·1 answer
  • Solve for the ? in the diagram below.​
    10·1 answer
  • How does newtons first law of motion apply to a ball rolling across the gym floor after and unbalanced force is applied?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!