In: Math
Use the position function ?(?) = −16?^ 2 + ?0? + ?0 for the following vertical motion of objects on earth.
5) An object is launched vertically from a 75ft building with an initial velocity of 240 ft/sec.
a) Find the velocity of the object 2 second after launch. Is it travelling up or down?
b) When will the object reaches its maximum height?
c) How long will the object travel in the air? (Hint: how long does it take to hit the ground?)
d) Determine the velocity when the subject hits the ground.
6) An object is fired downward with a speed of 12ft/sec from the top of a 80ft building.
a) Write the position function ?(?) that represents the height of the object, in feet, from the ground.
b) Determine the time for the object to hit the ground.
c) Determine the velocity at impact