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
ahrayia [7]
3 years ago
10

A grasshopper jumps a horizontal distance of 1.50 m from rest, with an initial velocity at a 43.0° angle with respect to the hor

izontal.
(a) Find the initial speed of the grasshopper.
m/s

(b) Find the maximum height reached.
M
Physics
2 answers:
Bezzdna [24]3 years ago
8 0

Answer:

(a)v₀ =3.84 m/s

(b) h= 0.35 m

Explanation:

The grasshopper describes a parabolic path.

The parabolic movement results from the composition of a uniform rectilinear motion (horizontal ) and a uniformly accelerated rectilinear motion of upward or downward motion (vertical ).

The equation of uniform rectilinear motion (horizontal ) for the x axis is :

x = xi + vx*t   Equation (1)

Where:  

x: horizontal position in meters (m)

xi: initial horizontal position in meters (m)

t : time (s)

vx: horizontal velocity  in m/s  

The equations of uniformly accelerated rectilinear motion of upward (vertical ) for the y axis  are:

y= y₀+(v₀y)*t - (1/2)*g*t² Equation (2)

Where:  

y: vertical position in meters (m)  

y₀ : initial vertical position in meters (m)  

t : time in seconds (s)

v₀y: initial  vertical velocity  in m/s  

g: acceleration due to gravity in m/s²

Data

g = 9.8 m/s²

v₀ , at an angle  α=43.0°  above the horizontal

xi=0

x=  1.50 m

y₀=0

x-y components of v₀

v₀x =  v₀cos43.0° = vx

v₀y =  v₀sin43.0°

Calculation of the time it takes for the grasshopperl to toch the ground

We replace data in the equation (1)

x = 0 + vx*t  =  (v₀cos43.0°)*t

t= x/(v₀cos43.0°)

t= 1,5/(v₀cos43.0°) Equation (3)

We replace t= 1,5/(v₀cos43°),y₀=0, y = 0,:when the grasshopper touches the ground  in the equation (2)

y=(v₀y)*t - (1/2)*g*t²

0=(v₀sin43°)*(1,5/(v₀cos43°) - (1/2)*(9.8)*1,5²/(v₀cos43°)²

0= 1,5*tan43° - 11.025/(v₀cos43°)²

11.025/(v₀cos43°)² = 1,5*tan43°

11.025 = (1,5*tan43°)*(v₀cos43°)²

(v₀cos43°)² = (11.025 )/ 1,5*(tan43°)

v₀² = (11.025 )/ (1,5*tan43°)(cos43°)²

v₀² = 14.73

v_{o} = \sqrt{14.73}

v₀ = 3.84 m/s

Flight time

in the Equation (3):

t = 1,5/(v₀cos43.0°) = 1,5/(3.84*cos43°)

t = 0.534 s

(b) Maximum height reached (h)

The time to reach maximum height (h) is half the time of flight time :

th=0.534 s /2 = 0.267 s

We apply the  Equation (2)  

y= (v₀y)*t - (1/2)*g*t²

h= ( 3.84*sin 43°)*( 0.267) - (1/2)*(9.8)*( 0.267)²

h= 0.35 m

Vanyuwa [196]3 years ago
3 0
I would say that b is the correct one
You might be interested in
In the realm of scientific inquiry, making an observation typically leads to ___.
musickatia [10]
A developing story hope it helped
5 0
3 years ago
Read 2 more answers
True or false? An object at rest has an instantaneous acceleration of zero.
Tpy6a [65]
True. it’s at rest which means it’s not moving so there’s no acceleration
8 0
3 years ago
Equipotential lines are usually shown in a manner similar to topographical contour lines, in which the difference in the value o
Elza [17]

Answer:

B or 2

Explanation:

5 0
3 years ago
Can anybody write a short poem about friction
Luden [163]
Answer:

you will be the clouds
and I will be the sky.
you will be the ocean
and I will be the shore.
you will be the trees
and I will be the wind.

whatever we are, you and I will always collide.

There you go! Let me know if it helped.
:)
8 0
2 years ago
How do magnetic forces repel or attract?
Lerok [7]

“Magnets are surrounded by an invisible magnetic field that is made by the movement of electrons, the subatomic particles that circle the nucleus of an atom”



“Every magnet has both a north and a south pole. When you place the north pole of one magnet near the south pole of another magnet, they are attracted to one another. When you place like poles of two magnets near each other (north to north or south to south), they will repel each other.”
3 0
3 years ago
Other questions:
  • The electric resistance in a length of wire is doubled when the wire is _________.
    6·1 answer
  • Which phenomenon occurs when a wave encounters a non–transmitting barrier
    12·2 answers
  • A magnetic field is created by ____.
    6·1 answer
  • Ice cube is dropped into a glass of water. Describe the motion of the ice cube and explain why it moves this way
    6·2 answers
  • In which diagram 1 or 2 would the person be experiencing winter? explain​
    8·1 answer
  • Someone pls help mee
    10·1 answer
  • An asteroid is discovered in a nearly circular orbit around the Sun, with an orbital radius that is 3.570 times Earth's. What is
    8·1 answer
  • Cho mạch như hình vẽ E
    10·1 answer
  • Which factors would increase heating of Earth, and which factors would decrease it
    15·2 answers
  • In this picture there is a circuit and the boxes are circuit component please tell how many nodes are there in circuit?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!