6. The red hydrogen line from the nearby star Alpha Centauri is observed to be reduced in wavelength by 0.044 nm — i. e. the line is normally 656.281 nm but it is observed at
656.237 nm — this is equivalent to a change of 0.999933.
(a) Is Alpha Centauri moving toward or away from the Sun?
(b) At what speed is Alpha Centauri moving toward or away from the Sun?

answerscientific theory;

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft

98.4 m

explanation:

let s = distance up the plane  

then by conservation of energy  

1/2m(18.3)^2 = mg s sin(10)  

(18.3)^2 = 2g s sin(10)  

s = (18.3)^2/2gsin(10)  

= 98.39564526  

= 98.4 m