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A projectile is launched at an angle of 30°.a. Is there
Chapter 4, Problem 4CQ(choose chapter or problem)
A projectile is launched at an angle of \(30^{\circ}\).
a. Is there any point on the trajectory where \(\vec{v}\) and \(\vec{a}\) are parallel to each other? If so, where?
b. Is there any point where \(\vec{v}\) and \(\vec{a}\) are perpendicular to each other? If so, where?
Equation Transcription:
Text Transcription:
30^circ
^vec v
^vec a
^vec v
^vec a
Questions & Answers
QUESTION:
A projectile is launched at an angle of \(30^{\circ}\).
a. Is there any point on the trajectory where \(\vec{v}\) and \(\vec{a}\) are parallel to each other? If so, where?
b. Is there any point where \(\vec{v}\) and \(\vec{a}\) are perpendicular to each other? If so, where?
Equation Transcription:
Text Transcription:
30^circ
^vec v
^vec a
^vec v
^vec a
ANSWER:
Step 1 of 2
a)
There is no such point, where the velocity and acceleration will be parallel to each other.
Because the acceleration is always downwards and the velocity has components which may or may not be parallel to the acceleration vector.
At the highest point, the only component is the horizontal component for the velocity. And there is no such moment when the only component will be the vertical one.
So, they cannot be parallel.