(a)
The slope of the path of particle at time
(a)
Answer to Problem 48RE
The slope is
Explanation of Solution
Given:
The position of particle in parametric equations are given as:
Calculation:
To find the slope,
To calculate
Now, find
Hence, the slope can be find out as:
At
Conclusion:
The slope is
(b)
The speed of the particle when
(b)
Answer to Problem 48RE
The speed of the particle is approximately
Explanation of Solution
Given:
The position of particle in parametric equations are given as:
Calculation:
As, the speed of a particle at a time t is equal to the magnitude of velocity
So, it can be written as:
Also,
Substitute the value of
Conclusion:
The speed of the particle is approximately
(c)
The distance travelled by the particle from
(c)
Answer to Problem 48RE
The distance travelled by the particle from
Explanation of Solution
Given:
The position of particle in parametric equations are given as:
Calculation:
Conclusion:
The distance travelled by the particle from
Chapter 10 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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