- #1
jalessandrom
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Homework Statement
The coordinate of an automobile in meters is x(t) = 5 + 3t + 2t2 and y(t) = 7 + 2t + t3, where t is in seconds. What is the instant acceleration of the car at time t = 2 s?
ANSWERS:
A. 10.2 m/s2
B. 9.5 m/s2
C. 7.9 m/s2
D. 15.0 m/s2
E. 12.6 m/s2
Homework Equations
ains = limt->0 dv / dt
= limt->0 d2x / dt2
The Attempt at a Solution
My attempt went as follows:
a for x-coordinate:
ains = limt->2 d2(5 + 3t + 2t2) / dt2
= limt->2 4 m/s2
= 4 x 2 = 8 m/s2
a for y-coordinate:
ains = limt->2 d2(7 + 2t + t3) / dt2
= limt->2 3 m/s2
=3 x 2 = 6 m/s2
For a:
√82 + 62 = 10 m/s2
Just wondering what I am doing incorrectly, any advice would be appreciated.