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
melisa1 [442]
3 years ago
10

A small object begins a free-fall from a height of =81.5 m at 0=0 s . After τ=2.20 s , a second small object is launched vertica

lly up from the ground with an initial velocity of 0=40.0 m/s . At what height from the ground will the two objects first meet?
Physics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

Answer:

33.23 m

Explanation:

At the point where both objects will meet, the vertical height will be equal.

From the equations of motion, the vertical height of the body falling at any time is given as

(y - y₀) = ut + ½gt²

y = vertical height at any time T

y₀ = initial height of the object = 81.5 m

u = initial velocity = 0 m/s (body was dropped)

g = -9.8 m/s²

(y - 81.5) = 0 - 4.9T²

y = 81.5 - 4.9T² (eqn 1)

For an object thrown up, the vertical height of the body at any time, t, is given as

(y - y₀) = ut + ½gt²

y = vertical height of the object at any time t

y₀ = initial height of the object = 0 m

u = initial velocity = 40 m/s

g = -9.8 m/s²

y = 40t - 4.9t² (eqn 2)

At the point where the two objects meet, we equate eqn 1 and eqn 2

y = y

81.5 - 4.9T² = 40t - 4.9t²

But T = (t + 2.2) (Since object 2 was dropped 2.2 s after object 1)

81.5 - 4.9(t + 2.2)² = 40t - 4.9t²

81.5 - 4.9(t² + 4.4t + 4.84) = 40t - 4.9t²

81.5 - 4.9t² - 21.56t - 23.716 = 40t - 4.9t²

81.5 - 21.56t - 23.716 - 40t = 0

57.784 = 61.56t

t = (57.784/61.56) = 0.93866 = 0.94 s

Therefore, the vertical height at t = 0.93866 s is

y = (40×0.93866) - 4.9(0.93866²) = 33.23 m

Hope this Helps!!!

You might be interested in
which of these types of radiation do you suppose we should fear the most if administered internally? •gamma rays •neutrons •alph
4vir4ik [10]
Alpha particles, because they are the heaviest ones (helium nuclei) and will travel around the body.
4 0
3 years ago
5. A 10 kg ball is traveling at the same speed as a 1 kg ball. Compared to the 10 kg ball, the 1 kg ball has (2 points)
suter [353]
What’s the rest of the question or is that it?
4 0
3 years ago
Order the sounds made by these sources from highest to lowest pitch.
Trava [24]

Answer:

c

motorcycle, telephone, piano, lawn mower

4 0
3 years ago
The strength of the force of gravity depends on
givi [52]

The masses of the objects and how much distance there is between them

3 0
3 years ago
Being overweight or obese increases the risk of:
Svetradugi [14.3K]

theanswer is b.heart disease

3 0
2 years ago
Read 2 more answers
Other questions:
  • How many miles can you get on one tank of gas if your tank holds 18 gallons and you get 22 miles per
    7·2 answers
  • A student is pouring equal amounts of water, maple syrup, and cooking oil into a glass beaker and looking at how the layers sett
    15·1 answer
  • A flat, 101 turn current‑carrying loop is immersed in a uniform magnetic field. The area of the loop is 5.61×10−4 m2, and the an
    10·1 answer
  • A car is driving down a highway at a speed of 65 miles per hour. To the nearest second, how long wili it take the car to drive 1
    13·1 answer
  • we see a magnet exerting a force on a current-carrying wire. Does a current-carrying wire exert a force on a magnet? Why or why
    9·2 answers
  • The red team hits the ball over the net in 2 hits and it hits on the floor 2 times before the
    15·1 answer
  • The four balls have different masses and speeds.
    11·2 answers
  • If the gravitational field strength at the top of Mount Everest is 9.772 N/kg, approximately how tall (in feet) is
    8·1 answer
  • whirl a rock at the end of a string and it follows a circular path. if the string breaks, the tendency of the rock is to
    13·1 answer
  • The two types of grip in table tennis are 1. ___________ and 2. _____________.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!