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
Elan Coil [88]
3 years ago
6

David drops a ball from a bridge at an initial height of 100 meters.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0
h(t) = \frac{1}{2}gt^{2} + v0t + h0

this equation is the given equation that will determine the high of an object using the time. This equation comes from physic though, so if you have a chance to study physic classes, you would have more understanding of this formula
g represents the gravity, -9.8 m/s^2 is the acceleration.
t represents the second. 
you just let t = 3, plug them into the equation, v0: initial speed is 0 because the ball was dropping, not throwing down. 
h(3) = \frac{1}{2}(-9.8)(3)^{2} + (0)(3) + 100
h(3) = 55.9 m is the height of the ball at 3 second. 
The second question asks you how many seconds will the ball hit the ground. When the ball touches the ground, that means the height is 0, but you don't how long was the dropping down.

Still, we use the equation h(t) = \frac{1}{2}gt^{2} + v0t + h0
Note: v0 is always 0 in this situation as I mentioned above. This equation does not involve the speed of ball during the dropping time, so no need to worry about it

0 = \frac{1}{2}(-9.8)t^{2} + (0)t + 100
Now we solve this equation to find t.
0 = -4.9t^{2} + 100
-4.9t^{2} = - 100
\sqrt{t^{2}} =  \sqrt{ \frac{-100}{-4.9} } ==\ \textgreater \  t = 4.5s is the total time for the ball to hit the ground
You might be interested in
Solve the inequality for v V-6<13
VARVARA [1.3K]
Addition Property of equality (+6 on both sides) V<19 any number less than 19 = V
6 0
3 years ago
Read 2 more answers
Help with # 4 plz idk
EleoNora [17]
It would be G. about 15 miles
6 0
3 years ago
What is the slope of the function below?<br> y=3x+5 please help!!!
ladessa [460]
X=-5/3 it’s a fraction
8 0
3 years ago
Solve the equation for all values of x.<br> (x + 3)(72 – 9) = 0
Alenkasestr [34]

Answer:

x has to be -3 for the answer to be 0

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
27 • a • a • a as an expression?
Alekssandra [29.7K]

the expression is 27a^3   or (3a)^3

5 0
3 years ago
Read 2 more answers
Other questions:
  • Given O below, the arcs AB and CD must be congruent.
    5·2 answers
  • A large employer gives each new hire an aptitude test, which is scored from 1 to 20. Let T be a worker's score on the test. The
    11·1 answer
  • Plz help ill give you brainlist
    9·1 answer
  • A triangle has two sides of lengths 7 and 9. What value could the length of
    9·1 answer
  • what is the scope of the line that passes through the points (-10,8) and (-15,-7). the answer needs to be in simplest form
    5·1 answer
  • What is 5/6 times 4 1/2 times 2 1/5
    8·2 answers
  • Find the distance between (3,3) and (3,4)​
    7·2 answers
  • 48 is 214% of what number ?
    9·1 answer
  • 3^8x3^4/3^2 x 3^8 in index form
    12·1 answer
  • 8x-3y times 5x5y over 10x6y2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!