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"Answer:
The distance of the car is 6 meters.
Explanation:
In our case, a car is travelling with an initial velocity then eventually slows down when the driver apply brakes. This type of solving problem is about Motions in a Straight Line.
Here, we are going to solve for the distance traveled by the car. To solve this, we are going to use the formula
where
and are the final and initial velocities respectively, unit is in m/s
is the acceleration, unit is in m/
is the horizontal distance traveled by the car, unit is in meter (m)
For the given information
For the first scenario of the car, here are the following given:
= 7 m/s
= 0
x = 1.5 m
For the second scenario, the same car have this given:
= 14 m/s
= 0
x = ?
Solving the problem
1. First, we will solve for the acceleration of the car of the first scenario using the formula above
Substitute the given information, we have
Transpose to the left side of the equation, we have:
Simplify, then divide both side of the equation by , we have:
a = - 16.33 m/
The negative sign for the acceleration means that the car is slowing down (or the term is deceleration) because the brakes were applied.
2. Now, we are ready to solve for the distance traveled by the car on the second scenario using the same formula.
Substitute the given information for the second scenario, we have:
Simplify the equation
Transpose to the left side of the equation and solve for , we have
Divide both sides of the equation by 32.67, we have:
x = 6 meters
Therefore, the distance traveled by the car is 6 meters for the second scenario.
To learn more about motions in a straight line, just click on the following links:
Additional example
brainly.ph/question/1397501
Formula for acceleration
brainly.ph/question/21070
brainly.ph/question/104568
#LetsStudy"
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