A glider is initially moving at a constant height of 3.72 m. It is suddenly subject to a wind such that its velocity at a later time t can be described by the equation v(t) = 16.02i − 7.96(1 + t)j + 0.76t3k, where v and its components are in meters per second, t is in seconds, and the z axis is perpendicular to the level ground. (a) What was the initial velocity of the glider? (Express your answer in vector form.)

Explanation:

Velocity is given by

Initial velocity is asked so t = 0

Magnitude is given by

The initial velocity of the glider was .

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  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.