Solve the problem.A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is
. What is the cart's maximum speed? When is the cart moving that fast? What is the magnitude of of the acceleration then?
A. 10? ? 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2
B. 10? ? 31.42 cm/sec; t = 0.5 sec, 2.5 sec; acceleration is 1 cm/sec2
C. 10? ? 31.42 cm/sec; t = 0 sec, 1 sec, 2 sec, 3 sec; acceleration is 0 cm/sec2
D. ? ? 3.14 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2
Answer: A
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The rectangular coordinates of a point are given. Express the point in polar coordinates with and
(-2, 0)
A. (2, 90°) B. (2, 270°) C. (-2, 180°) D. (2, 180°)
Graph the parabola and label the vertex. Find the x-intercept.x = -y2 - 8
A. vertex (-8, 0), x-intercept (-8, 0)
B. vertex (8, 0), x-intercept (8, 0)
C. vertex (8, 0), x-intercept (8, 0)
D. vertex (-8, 0), x-intercept (-8, 0)
Find the surface area of the sphere satisfying the given condition. Approximate values to the nearest tenth.radius = 6 cm
A. 904.3 cm2 B. 113.0 cm2 C. 150.7 cm2 D. 452.0 cm2
Simplify the expression.-
A. -
B.
C. -
D.