A bicycle starts at 2.5m/s and accelerates along a straight path to a speed of 12.5m/s in a time of 4.5 seconds. What is the bicyclist’s acceleration to the nearest tenth of a m/s^2 ?

Answers

Answer 1

Answer:

The bicyclist's acceleration is 2.2m/s^2

Explanation:

Given

[tex]u = 2.5m/s[/tex] ---- Initial Velocity

[tex]v = 12.5m/s[/tex] ---- Final Velocity

[tex]t = 4.5s[/tex] ---- Time

Required

Determine the acceleration

This will be solved using the first equation of motion

[tex]v = u + at[/tex]

Substitute values for v, u and a

[tex]12.5 = 2.5 + a * 4.5[/tex]

[tex]12.5 = 2.5 + 4.5a[/tex]

Collect Like Terms

[tex]4.5a = 12.5 - 2.5[/tex]

[tex]4.5a = 10.0[/tex]

Solve for a

[tex]a = 10.0/4.5[/tex]

[tex]a = 2.2m/s^2[/tex] ---- (approximated)

Hence, the bicyclist's acceleration is 2.2m/s^2


Related Questions

hi people see bye 18 45 36

Answers

Answer:

bye

Explanation:

What is the ratio of a 0.7 in circle in centimeters.

Answers

I believe it would be 4.4

Which statement best describe one of George Berkeley's arguments against materialism?
O A. There cannot be two different substances; my mind exists; therefore, matter does not exist.
OB. To be is to be perceived; we don't perceive matter; therefore, matter does not exist.
OC. I can only perceive my own mind; therefore, matter does not exist.
OD.
I can only perceive other minds; therefore, matter does not exist.
Reset
Next

Answers

Answer:

the answer is B

Explanation:

materialism is just wanting to always buy new things B does the opposite

1. An object carries a charge of q = +4x10-8C.
How many electrons are needed to make it elec-
trically neutral?​

Answers

Answer: i can help you

Explanation:

[tex]2.5[/tex]×[tex]10^{11}[/tex] electrons are needed to make an object neutral which is carrying a charge of [tex]q=+4[/tex]×[tex]10^{-8}[/tex]

What is a charge of an electron?The elementary charge (e) has a negative sign, and the electron's charge is equal to its magnitude. The charge of the electron is -1.602 x [tex]10^{-19}[/tex] coulombs (C), while the elementary charge is approximately 1.602 x [tex]10^{-19}[/tex] coulombs (C).Thus, -e can be used to represent the charge of an electron. The proton only possesses an e-charge despite being far more massive than the electron. The number of protons and electrons in neutral atoms is constant.The electron was unquestionably discovered by JJ Thomson. He only succeeded in obtaining the electron's charge-to-mass ratio, though, despite all the experiments he conducted on it. Robert Millikan holds the distinction of being the first to quantify the charge on an electron through his oil-drop experiment in 1909.

To learn more about charge, refer to

https://brainly.com/question/18102056

#SPJ2

In a head-on collision, a ball of mass 0.3 kg travelling with velocity 2.8 m/s in the positive x-direction hits a stationary second ball of mass 0.4 kg. What is the velocity of the 0.3 kg ball after the collision? Assume collision is elastic.

Answers

Answer:

The final velocity of the first ball (0.3 kg) is 0.4 m/s in negative x direction.

Explanation:

Given;

mass of the first object, m₁ = 0.3 kg

initial velocity of the first ball, u₁ = 2.8 m/s

mass of the second ball, m₂ = 0.4 kg

initial velocity of the second ball, u₂ = 0

let the final velocity of the first ball, = v₁

let the final velocity of the second ball, = v₂

Apply the principle of conservation of linear momentum;

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(0.3 x 2.8) + (0.4 x 0) = 0.3v₁ + 0.4v₂

0.84 = 0.3v₁ + 0.4v₂

2.8 = v₁ + 1.333v₂ -------equation (1)

Apply one-direction velocity;

u₁ + v₁ = u₂ + v₂

2.8 + v₁ = 0 + v₂

v₂ = 2.8 + v₁

substitute the value of v₂ into equation (1)

2.8 = v₁ + 1.333v₂

2.8 = v₁ + 1.333(2.8 + v₁)

2.8 = v₁ + 3.732 + 1.333v₁

2.8 - 3.732 = v₁ + 1.333v₁

-0.932 = 2.333v₁

v₁ = -0.932 / 2.333

v₁ = -0.4 m/s

Therefore, the final velocity of the first ball (0.3 kg) is 0.4 m/s in negative x direction.

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