Projectile flights in the following exercises are to be treated as ideal unless stated otherwise. all launch angles are assumed to be measured from the horizontal. all projectiles are assumed to be launched from the origin over a horizontal surface unless stated otherwise. a projectile is fired with an initial speed of 500 m/sec at an angle of elevation of 45°.

a. when and how far away will the projectile strike?
b. how high overhead will the projectile be when it is 5 km downrange?
c. what is the greatest height reached by the projectile?

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)