A softball is thrown perfectly vertically (straight-up) at 18 m/s. a) How high will it go?

b) Find the total time the ball is in the air.

a) y = 16.51 [m]

b) t = 1.83 [s]

Explanation:

To solve this problem we must use two kinematics equations, the first to determine the height to which the ball reaches, and the second equation to determine how long it lasts in the air.

where:

Vf = final velocity = 0

Vi = initial velocity = 18 [m/s]

g = gravity acceleration = 9.81[m/s^2]

t = time [s]

Note: the negative sign of the Equation indicates that the acceleration of gravity acts in the opposite direction to the movement of the ball.  The final velocity is zero, since the ball reaches its maximum altitude when the velocity is zero.

Now replacing:

0 = (18)^2 - (2*9.81*y)

y = 16.51 [m]

b)

0 = 18 - (9.81*t)

t = 1.83 [s]

To determine in which constellation the Sun is found at any time of the year.

Explanation:

Have located the stars in the various constellation. The Sun is found at any time in the year. Based on this the birth dates are determined for its meaning. But any year or every year the sun is found in the same place and same time. The various constellation connected to sun and earth are Sagittarius, Capricorn, Taurus, Gemini, Cancer, Aquarius, Pisces, Virgo, Libra and Scorpio, Aries. The constellation and date numbers are defined with appropriate meaning. For example, the Sun is found to be in Virgo from September 16 to October 31.