Take the moment car A starts to accelerate to be the origin. Then car A has position at time <em>t</em>
<em>x</em> = (20.0 m/s) <em>t</em> + 1/2 (2.10 m/s²) <em>t</em>²
and car B's position is given by
<em>x</em> = 300 m + (27.0 m/s) <em>t</em>
<em />
Car A overtakes car B at the moment their positions are equal:
(20.0 m/s) <em>t</em> + 1/2 (2.10 m/s²) <em>t</em>² = 300 m + (27.0 m/s) <em>t</em>
300 m + (7.00 m/s) <em>t</em> - (1.05 m/s²) <em>t</em>² = 0
==> <em>t</em> ≈ 20.6 s
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Answer:
Positive velocity and negative acceleration
Explanation:
An object moving in the positive direction has a positive velocity.
An object that's slowing down while moving in the positive direction has a negative acceleration.
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The acceleration of the wooden box is 6.17 m/s² towards the west.
<h3 /><h3>What is acceleration?</h3>
Acceleration can be defined as the rate of change of velocity.
To calculate the acceleration of the wooden box can be calculated using the formula below.
Formula:
- F₂-F₁ = ma.................. Equation 1
Where:
- F₂ = Force on the wooden box acting towards west
- F₁ = Force on the wooden box acting towards the east
- m = Mass of the wooden box.
- a = Acceleration of the wooden box
Make a the subject of the equation
- a = (F₂-F₁)/m........................ Equation 2
From the question,
Given:
- F₂ = 270.7 N
- F₁ = 85.7 N
- m = 30 kg
Substitute these values into equation 2
- a = (270.7-85.7)/30
- a = 185/30
- a = 6.17 m/s² towards the west.
Hence, The acceleration of the wooden box is 6.17 m/s² towards the west.
Learn more about acceleration here: brainly.com/question/605631
