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
Karo-lina-s [1.5K]
3 years ago
5

A deer moving with uniform velocity 10m/s is being chased by a leopard, when will it catch the deer, if it was initially 10 m be

hind and acceleration of leopard is 1.56 m/s2, given that the leopard was initially at rest.
​
Physics
1 answer:
artcher [175]3 years ago
3 0

The leopard will catch the deer after 13.7 seconds.

Explanation:

The deer is moving by uniform motion (=constant velocity), therefore we can write the equation of its position at time t as follows:

x_d(t) = v_d t + x_0

where

v_d = 10 m/s is the velocity of the deer

t is the time

x_0 = 10 m is the initial position of the deer when the leopard starts moving (in fact, the leopard starts from 10 metres behind)

Substituting the numbers,

x_d(t) = 10+10t (1)

Instead, the leopard moves from rest at constant acceleration, so the equation of its position is

x_l(t) = \frac{1}{2}at^2

where

a=1.56 m/s^2 is its acceleration

Substituting,

x_l(t) = \frac{1}{2}(1.56)t^2=0.78 t^2 (2)

The leopard catches the  deer when they are at the same position, therefore

x_d = x_l\\10+10t=0.78t^2

And solving the equation,

0.78t^2 -10t-10 = 0\\t=\frac{+10\pm \sqrt{(-10)^2-4(0.78)(-10)}}{2(0.78)}

which gives two solutions:

t = -0.93 s

t = 13.7 s

And neglecting the negative solution since it has no physical meaning, we can say that the leopard catches the deer after 13.7 seconds.

Learn more about accelerated motion:

brainly.com/question/9527152

brainly.com/question/11181826

brainly.com/question/2506873

brainly.com/question/2562700

#LearnwithBrainly

You might be interested in
Which conditions are necessary for clouds to form?
VikaD [51]

Answer: Some of the thing that are important for clouds to form are: Moisture - There must be sufficient water vapor in the air for a cloud to form. Cooling air - The air temperature must decrease enough for water vapor to condense

Explanation:

7 0
3 years ago
Read 2 more answers
What body part plays a strong role in releasing power​
Eddi Din [679]

Answer:

I think your bones, muscles, and joints your welcome :)

Explanation:

8 0
3 years ago
Read 2 more answers
How many atoms are in the formula CH4? <br><br> A ) 2 <br><br> B ) 4 <br><br> C ) 5 <br><br> D ) 6
Rufina [12.5K]
B) 4 is the answer for atoms in CH4
6 0
2 years ago
Read 2 more answers
when do you use cos and sin in situations like these? is horizontal always cos and vertical always sin?
Andreas93 [3]

Answer:

yes

Explanation:

this is simple

the horizontal line is adjacent

the vertical line is opposite

recall that cos x=adj/hyp

adj=hyp(cos x)

while opp=hyp(sin x)

8 0
3 years ago
Andy has two strong magnetic marbles of equal size. What will happen when he puts the two marbles about 2 centimeters apart?
VikaD [51]
I believe it would be C
5 0
3 years ago
Read 2 more answers
Other questions:
  • What’s the maximum height of the second hill? Use your answer from part E and the formula PE=m•g•h to determine the answer. Assu
    8·2 answers
  • Is a scientist who studies climate change. As part of a larger experiment, her work requires her to travel. Her company makes su
    11·1 answer
  • 30 POINTS!
    8·2 answers
  • A wooden cylinder of length L and cross-sectional area A is partially submerged in a liquid with the axis of the cylinder orient
    15·1 answer
  • Find the magnitude of a fourth force on the stone that will make the vector sum of the four forces zero.
    10·1 answer
  • You are designing an amusement park ride. A cart with two riders moves horizontally with speed v = 5.40 m/s . You assume that th
    14·1 answer
  • A pilot is upside down at the top of an inverted loop of radius 3.20 x 103 m. At the top of the loop his normal force is only on
    12·1 answer
  • Tritium, the 3H atom, consists of a nucleus of one proton and two neutrons with a single electron. It is unstable and decays via
    14·1 answer
  • The Milky Way Galaxy is (a) another name for our solar system; (b) a small group of stars visible in our night sky; (c) a collec
    14·1 answer
  • When a jet plane is cruising at high altitude, the flight attendants have more of a "hill" to climb as they walk forward along t
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!