At t = 0, the position of a particle on a rectangular membrane is given by 
. Find the rate at which P changes if the particle moves from 
in a direction of a vector making an angle 30° with the positive x-axis.
Definitions:
Sensorimotor Stage
The first stage in Piaget's theory of cognitive development, from birth to about age 2, where infants learn about the world through their sensory impressions and motor activities.
Preoperational
Describes a stage in Piaget's theory of cognitive development where children from 2 to 7 years old engage in symbolic play and struggle with logic and understanding others' perspectives.
Concrete Operational
A stage in cognitive development where children can think logically about concrete events.
Formal Operational
The stage in Jean Piaget's theory of cognitive development where individuals are able to think abstractly and reason logically.
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