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 turtleโs position as a function of time is ๐ฅ(๐ก) = 50.0 ๐๐ +
(2.00 ๐๐/s) โ t (0.0625 ๐๐/ s2) t2
.(a) Find the turtleโs initial velocity, initial position, and initiaal acceleration
(b) At what time t is the velocity of the turtle zero?
(c) How long after startingd doesit take the turtle to return to its starting point?
(d) At what times t is the turtle a distance of
10.0 cm from its starting point?
(e) What is the velocity (magnitude and direction) of the turtlea at each of these times?
(a) Find the first derivative of x(t):
The initial velocity at t=0 is 2 cm/s, initial acceleration is 0.0625 cm/s2, initial position at t=0 is 50 cm.
(b) Find when the velocity is 0:
(c)The starting point is 50 cm:
(d) Substitute this into x(t):
(We take only positive root because we can't turn back time)
(e) At t=0 it is 2 cm/s, at t=32 is is 0, at t=45.9 it is
Comments
Leave a comment