A robot has been programmed so that it has an acceleration given by a = 07 - Btj in the coordinate system below. Here ß is a known constant. The robot is to be placed at the point x = 0, y = A at t = 0 and given some initial velocity, 7₁, so that it can pick up some object at the point x = C, y = D. (Here A, C, and D are known.) a. What is the robot's position as a function of time? • (C, D) A 7x
A robot has been programmed so that it has an acceleration given by a = 07 - Btj in the coordinate system below. Here ß is a known constant. The robot is to be placed at the point x = 0, y = A at t = 0 and given some initial velocity, 7₁, so that it can pick up some object at the point x = C, y = D. (Here A, C, and D are known.) a. What is the robot's position as a function of time? • (C, D) A 7x
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Transcribed Image Text:A robot has been programmed so that it has an acceleration given by
a = 07 - Btj
in the coordinate system below. Here is a known constant. The robot is to be placed
at the point x = = 0, y A at t = 0 and given some initial velocity, 7₁, so that it can
pick up some object at the point x = C, y = D. (Here A, C, and D are known.)
a. What is the robot's position as a function of time?
• (C, D)
L
A
q+
b. What must be the magnitude of the robot's initial velocity if it leaves the initial point
at the known angle as shown?
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