1. A ball attached to 2 strings is swung around in an ellipse as shown. If both springs break simultaneously when the ball is in the position shown, which path will the ball follow? Circle the correct answer and explain your reasoning. a. b. C. d. f. d 2. A ball is thrown so that its position in meters as a function of time in seconds is given by the equations below. Find the following. a. The velocity at t = 2 s b. The acceleration at t = 3 sec c. The maximum height (v) reached d. The time until y=0. e. The minimum radius of curvature of the trajectory of the ball {p=[1+(dy/dx)2p/2²/d²y/dx²]} Calculate acceleration at ymax using a =v²/p. a. x = 2t 101 155, 1.005²
1. A ball attached to 2 strings is swung around in an ellipse as shown. If both springs break simultaneously when the ball is in the position shown, which path will the ball follow? Circle the correct answer and explain your reasoning. a. b. C. d. f. d 2. A ball is thrown so that its position in meters as a function of time in seconds is given by the equations below. Find the following. a. The velocity at t = 2 s b. The acceleration at t = 3 sec c. The maximum height (v) reached d. The time until y=0. e. The minimum radius of curvature of the trajectory of the ball {p=[1+(dy/dx)2p/2²/d²y/dx²]} Calculate acceleration at ymax using a =v²/p. a. x = 2t 101 155, 1.005²
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Transcribed Image Text:1. A ball attached to 2 strings is swung around in an ellipse as shown. If both springs break
simultaneously when the ball is in the position shown, which path will the ball follow? Circle
the correct answer and explain your reasoning.
C.
d.
C.
b.
2. A ball is thrown so that its position in meters as a function of time in seconds is given by the
equations below. Find the following.
a. The velocity at t = 2 s
b. The acceleration at t = 3 sec
{p=[1+(dy/dx)²p/²/d²y/dx²/}
Calculate acceleration at ymax using a =v²/p.
x = 2t
C. The maximum height (v) reached
d. The time until y=0.
e. The minimum radius of curvature of the trajectory of the ball
f.
a.
y=10+1.155t-4.905t²
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