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Mathematics Clinic => Calculus => Topic started by: dmcintosh on Dec 18, 2021

Title: A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest ...
Post by: dmcintosh on Dec 18, 2021

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?
◦ 10π ≈ 31.42 cm/sec; t = 0 sec, 1 sec, 2 sec, 3 sec; acceleration is 0  cm/sec²
◦ 10π ≈ 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec²
◦ π ≈ 3.14 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0  cm/sec²
◦ 10π ≈ 31.42 cm/sec; t = 0.5 sec, 2.5 sec; acceleration is 1  cm/sec²

Title: A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest ...
Post by: Bigfoot1984 on Dec 18, 2021

10π ≈ 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec²