a)
To find: The velocity
a)
Answer to Problem 52EP
At
Explanation of Solution
Given information:
The position of particle A is given by the equations
The position of particle B is given by the equations
Formulas used:
Suppose a particle moves along a smooth curve in the plane and its position at time
Calculation:
The velocity vector of the particle is
Differentiate equation
Differentiate equation
Substitute
Differentiate equation
Differentiate equation
The velocity of particle B at
Thus, the velocity vector of particle A at
b)
To find: The distance traveled by particle A from
b)
Answer to Problem 52EP
The distance traveled by particle A from
Explanation of Solution
Given information: The position of particle A is given by
Formulas used:
Suppose a particle moves along a smooth curve in the plane and its position at time
The distance traveled by a particle from
Calculation:
Differentiate equation
Differentiate equation
Find the distance traveled by particle A from
Thus, the distance traveled by particle A from
c)
To find: The exact time when the particle collides.
c)
Answer to Problem 52EP
Both the particles collide at
Explanation of Solution
Given information: The position of particle A is given by
The position of particle B is given by
Calculation:
If the particles collide then the position vector is the same for both the particles.
Thus,
If
Substitute 4 for
Substitute 4 for
At
Thus, both the particles collide at
Chapter 10 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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