Aball is dropped from a cliff that is 256 feet high. the height of the ball (in feet) after t seconds is given by the formula h(t) = 256 - 16t^2. how many seconds (to the nearest tenth) will it take for the ball to hit the ground? a. 4096 sec b. 16sec c. 15.5 sec d. 4 sec

t = 4 sec

Explanation:

given,

height of the cliff = 256 ft

equation of height and time

h(t) = 256 - 16 t²

time at which the ball hit the ground = ?

when the ball hit the ground height of the cliff is equal to zero

h(t) = 0                

now,              

0 = 256 - 16 t²      

16 t² = 256          

t² = 16                  

t = 4 sec        

hence, height of the ball will be equal to zero when time is 4 seconds.

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)