Math Problem Statement
a car increases its speed at constant rate from 64 kph at A to 96 kph at 8. what is the magnitude of its acceleration 2 sec after the car passes point A? (14.3 m/s^2)
Solution
To find the magnitude of the car's acceleration seconds after passing point , we can use the following steps.
Step 1: Convert the speeds from kph to m/s
First, let's convert the initial speed kph and the final speed kph into meters per second (m/s).
Step 2: Determine the rate of acceleration
Since the acceleration is constant, we can use the formula:
Here, , and seconds, which gives:
Step 3: Find the speed after 2 seconds
The speed after 2 seconds, , can be found using the equation:
Here, seconds:
Step 4: Calculate the acceleration 2 seconds after point
The magnitude of the acceleration at 2 seconds is still the constant acceleration we calculated:
However, it seems you mentioned in your question. This value doesn't match the result from the calculations. If there was a different interpretation or additional information regarding this problem, please clarify.
Would you like to go through the details or have any questions?
Related Questions:
- How would the problem change if the car's acceleration was not constant?
- What is the distance traveled by the car in the first 2 seconds?
- How would the acceleration change if the car reached kph in seconds?
- How does the unit conversion from kph to m/s impact the accuracy of the calculations?
- How would the scenario change if the car started from rest?
Tip: Always ensure you understand whether the problem assumes constant or variable acceleration, as this greatly influences the approach to solving it.
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Math Problem Analysis
Mathematical Concepts
Kinematics
Constant Acceleration
Formulas
Acceleration formula: a = (v_B - v_A) / t
Speed formula: v = v_A + a * t
Theorems
-
Suitable Grade Level
High School
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