Determine the distance a ball rolls, on inclined plane 1 , during each of the following time intervals. Hint: To determine the distance a ball rolls in the interval t = 1 to t = 2 seconds, find the distance it rolls in 2 seconds and from this distance subtract the distance it rolls in 1 second. a. 1 st second: t = 0 to t = 1 second b. 2 nd second: t = 1 to t = 2 seconds c. 3 rd second: t = 2 to t = 3 seconds d. 4 th second: t = 3 to t = 4 seconds e. 5 th second: t = 4 to t = 5 seconds
Determine the distance a ball rolls, on inclined plane 1 , during each of the following time intervals. Hint: To determine the distance a ball rolls in the interval t = 1 to t = 2 seconds, find the distance it rolls in 2 seconds and from this distance subtract the distance it rolls in 1 second. a. 1 st second: t = 0 to t = 1 second b. 2 nd second: t = 1 to t = 2 seconds c. 3 rd second: t = 2 to t = 3 seconds d. 4 th second: t = 3 to t = 4 seconds e. 5 th second: t = 4 to t = 5 seconds
Solution Summary: The author explains how to determine the distance a ball rolls in the interval t=0 to
Determine the distance a ball rolls, on inclined plane
1
, during each of the following time intervals. Hint: To determine the distance a ball rolls in the interval
t
=
1
to
t
=
2
seconds, find the distance it rolls in
2
seconds and from this distance subtract the distance it rolls in
1
second.
4.7 Use forward and backward difference approximations of O(h)
and a centered difference approximation of O(h²) to estimate the
first derivative of the function examined in Prob. 4.5. Evaluate the
derivative at x = 2 using a step size of h = 0.2. Compare your results
with the true value of the derivative. Interpret your results on the
basis of the remainder term of the Taylor series expansion.
• Plane II is spanned by the vectors:
P12
P2 = 1
• Subspace W is spanned by the vectors:
W₁ =
-- () ·
2
1
W2 =
0
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