In 2070, Adam wins a vacation at the new Moon Country Club. While vacationing Adam hits a golf ball off a cliff 300 meters high with an initial speed of 40 meters per second at an angle of 45° to the horizontal on the Moon(gravity on the Moon is one-sixth of that on Earth). Round all answers to three decimal places. a. Find parametric equations that describe the position of the ball as a function of time, t (round coefficients to three decimal places). b. How long is the ball in the air? c. When is the ball at its maximum height? What is that maximum height? d. When the ball lands, how far is it from Adam(the horizontal distance the ball traveled)?
Stellar evolution
We may see thousands of stars in the dark sky. Our universe consists of billions of stars. Stars may appear tiny to us but they are huge balls of gasses. Sun is a star of average size. Some stars are even a thousand times larger than the sun. The stars do not exist forever they have a certain lifetime. The life span of the sun is about 10 billion years. The star undergoes various changes during its lifetime, this process is called stellar evolution. The structure of the sun-like star is shown below.
Red Shift
It is an astronomical phenomenon. In this phenomenon, increase in wavelength with corresponding decrease in photon energy and frequency of radiation of light. It is the displacement of spectrum of any kind of astronomical object to the longer wavelengths (red) side.
In 2070, Adam wins a vacation at the new Moon Country Club. While vacationing Adam hits a golf ball off a cliff 300 meters high with an initial speed of 40 meters per second at an angle of 45° to the horizontal on the Moon(gravity on the Moon is one-sixth of that on Earth). Round all answers to three decimal places.
a. Find parametric equations that describe the position of the ball as a function of time, t (round coefficients to three decimal places).
b. How long is the ball in the air?
c. When is the ball at its maximum height? What is that maximum height?
d. When the ball lands, how far is it from Adam(the horizontal distance the ball traveled)?
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