Concept explainers
Below we see before and after snapshots of a car’s velocity. The time interval between before and after for each is the same.
a. Rank the cars in terms of the change in velocity, from most positive to most negative. (Negative numbers rank lower than positive ones, and remember, tie scores can be part of your ranking.)
b. Rank them in terms of acceleration, from greatest to least.
(a)
The rank of the cars in terms of the change in velocity, from most positive to most negative.
Answer to Problem 21A
The rank of the cars in terms of the change in velocity, from most positive to most negative is
Explanation of Solution
Formula used:
The expression for the change in velocity as follows:
Here,
Calculation:
The change in velocity for case A as follows:
The change in velocity for case B as follows:
The change in velocity for case C as follows:
The change in velocity for case D as follows:
By comparing the values, the change in velocity is
Conclusion:
Thus, the rank of the cars in terms of the change in velocity, from most positive to most negative is
(b)
The rank of the cars in terms of acceleration from greatest to least.
Answer to Problem 21A
The rank of the cars in terms of acceleration from greatest to least is
Explanation of Solution
Formula used:
The expression for the change in velocity as follows:
Here,
Calculation:
Acceleration is the variation in velocity during a given period of time. That is acceleration is directly proportional to the change in velocity.
Refer part (a).
The change in velocity for case A is
The change in velocity for case B is
The change in velocity for case C is
The change in velocity for case D is
By comparing the values, the change in velocity is
Hence, the rank of the cars in terms of acceleration from greatest to least is
Conclusion:
Thus, the rank of the cars in terms of acceleration from greatest to least is
Chapter 4 Solutions
Conceptual Physics: The High School Physics Program
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