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ra1l [238]
2 years ago
14

Which example demonstrates constant speed with changing direction?

Physics
1 answer:
Darya [45]2 years ago
3 0
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The following data were collected during a short race between two friends. Velocity (m/s) 0 0.5 1 1.5 2 2 4 6 2 0 Time (s) 0 2 4
scoundrel [369]

The characteristics of the kinematics allow to find the results for the questions about the movement of the body are:

a)  we have four sections;

  • 0 to 8 s The body is accelerating.
  • 8 to 10 s The body goes at a constant speed, the acceleration is zero.
  • 10 to 14 Body accelerating.
  • 14 to 18 Body slowing down.

b)  The acceleration is the first 8 s is:  a = 0.25 m / s²

c) The maximum acceleration is:    a = 1 m / s²

d) The displacement   is:  i) d₁ =  8m,     ii)  d_{total}= 16 m

e) maximum speed  is:      v = 6 m / s

Kinematics studies the movement of bodies by finding relationships between the position, speed and acceleration of bodies.

        v = v₀ + a t

        y = v₀ t + ½ a t²

where v and v₀ is the current and initial velocity, respectively, a is the acceleration and t is time.

In many circumstances graphs are made for their analysis, in a graph of speed versus time when we have a horizontal line the speed is constant, the acceleration is zero and in the case of a slope there is an acceleration, we have two cases:

  • Positive slope the body is accelerating and the speed is increasing.
  • Negative slope the body is stopping, the speed decreases.

Let's answer the different questions about the system.

a) in the attached we have a graph of the velocity versus time, each section corresponds to a change in the slope of the graph, we have four sections;

  • 0 to 8 s The body is accelerating.
  • 8 to 10 s The body goes at a constant speed, the acceleration is zero.
  • 10 to 14 Body accelerating.
  • 14 to 18 Body slowing down.

b) The acceleration is the first 8 s

          v = v₀ + a t

          a = \frac{v-v_o}{\Delta t}  

          a = \frac{2-0}{8-0}  

          a = 0.25 m / s²

c) The maximum acceleration is when the slope is maximum.

          a = \frac{6-2}{ 14-10}  

          a = 1 m / s²

Therefore the acceleration is maximum in the section between 10 and 14 s

d) The total displacement is the sum of the displacements of each section.

         d_{total } = d_1 +d_2 + d_3 +d_4  

We look for every displacement.

       d₁ = v₀ + ½ a₁ Δt²

       d₁ = 0 + ½ 0.25 8²

       d₁ = 8 m

In the second section the velocity is constant

         d₂ = v₂ Δt₂

         d₂ = 2 (10-8)

         d₂ = 4 m

The third section.

    d₃ = v₀ + ½ a t²

    d₃ = 2 + ½ 1 (14-10) ²

    d₃ = 10 m

The distance of the fourth section.

       

we look for acceleration

          a₄ = \frac{v-v_o}{\Delta t}  

          a₄ = \frac{0-6}{18-14}  

          a₄ = -1.5 m / s²

     

          d₄ = 6 + ½ (-1.5) (1814) ²

          d₄ = -6 m

The total displacement is;

          d_{total} = 8 + 4 + 10 -6

          d_{total} = 16 m

e) The maximum speed is the highest point in the graph of speed versus time that in the attachment we can see corresponds to

          v = 6 m / s

In conclusion using the characteristics of kinematics we can find the results for the questions about the motion of bodies are:

  a)  we have four sections;

  • 0 to 8 s The body is accelerating.
  • 8 to 10 s The body goes at a constant speed, the acceleration is zero.
  • 10 to 14 Body accelerating.
  • 14 to 18 Body slowing down.

b)  The acceleration is the first 8 s is:  a = 0.25 m / s²

c) The maximum acceleration is:    a = 1 m / s²

d) The displacement   is:  i) d₁ =  8m,     ii)  d_{total}= 16 m

e) maximum speed  is:      v = 6 m / s

Learn more about kinematics here: brainly.com/question/24783036

3 0
2 years ago
A 50kg boy runs at a speed of 10.0m/s and jumpsonto a cart
andriy [413]

Answer:

the mass of the cart is 150 kg

Explanation:

given,

mass of boy(m) = 50 kg

speed of boy (v)= 10 m/s                  

initial velocity of cart (u) = 0                    

final velocity of cart(V) = 2.5 m/s              

mass of the cart(M) = ?                              

m v + M u = (m + M ) V......................(1)

50× 10 + 0 = (50 + M ) 2.5

M =\dfrac{500}{2.5} - 50

M = 150 Kg                                          

hence, the mass of the cart is 150 kg

4 0
2 years ago
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How do i find the number of leptons in an atom??
Serjik [45]

Answer:

In particle physics, a lepton is an elementary particle of half-integer spin (spin 1⁄2) that does not undergo strong interactions.[1] Two main classes of leptons exist: charged leptons (also known as the electron-like leptons or muons), and neutral leptons (better known as neutrinos). Charged leptons can combine with other particles to form various composite particles such as atoms and positronium, while neutrinos rarely interact with anything, and are consequently rarely observed. The best known of all leptons is the electron.

8 0
2 years ago
1. Set frequency of wave generator to 5Hz.
ivann1987 [24]

Separate the barriers so they have a 2cm gap between them.

3 0
3 years ago
What planet is closet in mass to earth
alexdok [17]

Answer:venus

Explanation:

is most like Earth in terms of mass and size, and it is also the planet closest to Earth, but the two planets are far from identical twins.

3 0
3 years ago
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