Concept explainers
a.
Acceleration of the object.
a.
Answer to Problem 59A
Acceleration of object for first 5 min is
Explanation of Solution
Given:
Velocity time graph is given
Time is from 0 to 5 min. So, t = 5 min
Formula Used:
Acceleration of an object is equal to change if velocity is with respect to time.
Mathematically acceleration is
Here, v is final velocity, u is initial velocity and t is the time taken to reach final velocity from initial velocity.
Calculation:
For the first 5 min, velocity changes from 0 m/min to 30 m/min.
Therefore, initial velocity u = 0 m/min
And final velocity v = 30 m/min.
So, on substituting the values
Conclusion:
Therefore, the acceleration of the object is
b.
Acceleration of the object.
b.
Answer to Problem 59A
Acceleration of object for between 5 to 10 min is
Explanation of Solution
Given:
Velocity time graph is given
Time is from 5 to 10 min. So, t = 5 min
Formula Used:
Acceleration of an object is equal to change if velocity is with respect to time.
Mathematically acceleration is
Here, v is final velocity, u is initial velocity and t is the time taken to reach final velocity from initial velocity.
Calculation:
Between 5 to 10 min, there is no change in velocity.
Therefore, initial velocity u = 30 m/min, and final velocity v = 30 m/min.
So, on substituting the values,
Conclusion:
Therefore, the acceleration of the object is
c.
Acceleration of the object.
c.
Answer to Problem 59A
Acceleration of object for between 10 to 15 min is
Explanation of Solution
Given:
Velocity time graph is given
Time is from 10 to 15 min. So, t = 5 min.
Formula Used:
Acceleration of an object is equal to change if velocity with respect to time.
Mathematically acceleration is
Here, v is final velocity, u is initial velocity and t is the time taken to reach final velocity from initial velocity.
Calculation:
Between 10 to 15 min velocity changes from 30 m/min to 20 m/min.
Therefore, initial velocity u = 30 m/min.
And final velocity v = 20 m/min.
So, on substituting the values
Conclusion:
Therefore, the acceleration of the object is
d.
Acceleration of the object.
d.
Answer to Problem 59A
Acceleration of object for between 20 to 25 min is
Explanation of Solution
Given:
Velocity time graph is given;
Time is from 20 to 25 min. So, t = 5 min
Formula Used:
Acceleration of an object is equal to change if velocity with respect to time.
Mathematically acceleration is
Here, v is final velocity, u is initial velocity and t is the time taken to reach final velocity from initial velocity.
Calculation:
Between 20 to 25 min, the velocity changes from 20 m/min to 0 m/min.
Therefore, initial velocity u = 20 m/min.
And final velocity v = 0 m/min.
So, on substituting the values
Conclusion:
Therefore, the acceleration of the object is
Chapter 3 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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