b. A tennis ball is served horizontally from 2.4 m above the ground at 26m/s. The net is 11.5m away and 1.1 m high. (i) (ii) (iii) (iv) Find the velocity vector at time t seconds. Find its position vector at time t seconds. Will the ball clear the net? If so, by how much? When will the ball land?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 44CT
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( solve only b )
8 a. Given the polar equation r2 sin20 = 8, find an equivalent Cartesian equation.
b. A tennis ball is served horizontally from 2.4 m above the ground at 26m/s.
The net is 11.5m away and 1.1 m high.
Find the velocity vector at time t seconds.
Find its position vector at time t seconds.
Will the ball clear the net? If so, by how much?
When will the ball land?
(i)
(iv)
c. Find the curvature and the radius of curvature of the curve
y = x + 5x? – 2x³ at the origin (0,0).
Transcribed Image Text:8 a. Given the polar equation r2 sin20 = 8, find an equivalent Cartesian equation. b. A tennis ball is served horizontally from 2.4 m above the ground at 26m/s. The net is 11.5m away and 1.1 m high. Find the velocity vector at time t seconds. Find its position vector at time t seconds. Will the ball clear the net? If so, by how much? When will the ball land? (i) (iv) c. Find the curvature and the radius of curvature of the curve y = x + 5x? – 2x³ at the origin (0,0).
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