A turtle crawls along a straight line, which we will call the x-axis with the po

Question

A turtle crawls along a straight line, which we will call the x-axis with the positive direction to the right. The equation for the turtle's position as a function of time is .x(t)= 50.0 cm +(2.00 cm /s)t-(0.0625cm/s^2)t^2

A turtle crawls along a straight line, which we will call the x - axis with the positive direction to the right. The equation for the turtle's position as a function of time is .x(t)= 50.0 cm +(2.00 cm /s)t - (0.0625cm/s^2)t^2 Sketch the graph of x versus t for the time interval t = 0 to t = 40s.

Explanation / Answer

a) plug in t =0 in the following equations x = 50 + 2t - 0.0625t^2 cm dx/dt = 2 - 0.125t cm/s d^2x/dt^2 = -0.125 cm/s^2 b) 0 = 2 - 0.125t t = 2/0.125 s c) 0 = 50 + 2t — 0.0625t^2 solve for t, then use t to solve for dx/dt d) 10 = 50 + 2t — 0.0625t^2 solve for t

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