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Sloan [31]
3 years ago
11

Object moving on the

Physics
1 answer:
Shalnov [3]3 years ago
3 0

Answer:

The acceleration of the object during the motion is 1.6 m/s²

Explanation:

Lets explain how to solve the problem

An object moving on the x-axis with a constant acceleration

Its distance increases 80 meter in 5 seconds

Its final velocity is 20 m/s

We need to find the acceleration of the object during this motion

To solve the problem we will use two equations:

<u><em>First:</em></u> s=ut+\frac{1}{2}at^{2}, where s is the displacement, u is the

initial velocity, t is the time, and a is the acceleration

<u><em>Second:</em></u> v = u + at, where v is the final velocity

s = 80 , t = 5 , v = 20 we have two missing a and u, so we will use the

system of equations to find them

Substitute s, t in the first equation

80=u(5)+\frac{1}{2}a(5)^{2}

80 = 5u + 12.5a

5u + 12.5a = 80 ⇒ (1)

Substitute V and t in the second equation

20 = u + a(5)

20 = u + 5a

u + 5a = 20 ⇒ (2)

Lets solve equations (1) and (2)

Multiply equation (2) by -5 to eliminate u

-5u - 25 a = -100 ⇒ (3)

Add equations (1) and (3)

-12.5 a = -20

Divide both sides by -12.5

a = 1.6

<em>The acceleration of the object during the motion is 1.6 m/s²</em>

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Complete Question

The complete question is shown on the uploaded image

Answer:

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