Question: See the figure. If friction is ignored, the time t (in seconds) required for a block to slide down an inclined plane is given by

See the figure.

If friction is ignored, the time t (in seconds) required for a block to slide down an inclined plane is given by the function

2a t(0) g sin 0 cos 0

where a is the length (in feet) of the base and g ≈ 32 feet per second per second is the acceleration due to gravity. How long does it take a block to slide down an inclined plane with base a = 10 feet when:

(a) θ = 30°?

(b) θ = 45°?

a 2a t(0) g sin 0 cos 0

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