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
PLS HELP IM SOO CONFUSED!
Feliz [49]
False.

As temperature increases the more the electrons begin to vibrate more, as it decreases they vibrate less.
7 0
2 years ago
Read 2 more answers
5. Describe the sequence of mechanical
butalik [34]

Answer: idk that is a tough one!

Explanation: that is a hard question IDK

5 0
2 years ago
What is pressure in physics ​
harkovskaia [24]
Pressure is the force per unit area. This means that the pressure a solid object exerts on another solid surface is its weight in newton’s divided by its area in square metres
8 0
3 years ago
3. Identify which of the following probably would not have an effect on the climate of a region:
Nat2105 [25]
C.) A thunderstorm
That’s the Answer
6 0
2 years ago
How do veins control the flow of blood
Alik [6]
Answer: Blood primarily moves in the veins by the rhythmic movement of smooth muscle in the vessel wall and by the action of the skeletal muscle as the body moves. Because most veins must move blood against the pull of gravity, blood is prevented from flowing backward in the veins by one-way valves.

Good luck !
3 0
3 years ago
Other questions:
  • A charge of 100 elementary charges is equivalent to (1) 1.60 times 10^-21 C (2) 1.60 times 10^-17 C (3) 6.25 times 10^16 C (4) 6
    9·1 answer
  • The stored energy an object has due to its position is potential energy. True or False?
    10·2 answers
  • Before heating a hot air balloon, the air temperature is 20C, and the density of air is 1 kg/m3. To launch the balloon, the burn
    15·2 answers
  • The planet Jupiter has a surface temperature of 140 K and a mass 318 times that of Earth. Mercury (the planet) has a surface tem
    15·1 answer
  • Future space stations will create an artificial gravity by rotating. Consider a cylindrical space station 780 m diameter rotatin
    13·1 answer
  • our friend is constructing a balancing display for an art project. She has one rock on the left (ms=2.25 kgms=2.25 kg) and three
    8·1 answer
  • An astronaut has left the International Space Station to test a new space scooter. Her partner measures the following velocity c
    15·1 answer
  • Which is the answer
    12·2 answers
  • The graph shows the layers of Earth's atmosphere. Which statement best describes the relationship between temperature and altitu
    13·1 answer
  • When you think about and describe the characteristics of a giraffe, what type of model are you using?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!