An object is moving to the right in the xy-plane along the curve ...

[robinn137]

Question 1

The position vector of a moving particle in space is given by the vector equation . When will the speed of the particle be 4 units?
◦ t = 0
◦ t = 6  and t = - 2
◦ t = 6
◦ t = 2
◦ t = - 6  and  t = 2

Question 2

An object is moving to the right in the xy-plane along the curve  y = x².  At the instant when it is at the point  ,  its speed is  2  and that speed is decreasing at rate  1.  What are the velocity and acceleration of the object at that instant?
◦ v =  (i + j),   a =  -i + j
◦ v = (i + j),   a =  (1 + ) i + (1 - ) j
◦ v =  2 (i + j),   a =  -i + j
◦ v = 2 (i + j),   a =  (1 + ) i + (1 - ) j
◦ v = (i + j),   a = i - j

[makaylafy]

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[robinn137]

Thanks for the timely response, appreciate it

[bbburns21]

TYSM