Solve the problem. a ball is thrown downward from a window in a tall building. its position at time t in seconds is s = 16t² + 32t, where s is in feet. how long (to the nearest tenth) will it take the ball to fall 95 feet?

At first we will have to calculate the dy/dx.

So, ds/dt=32t+32

Then to calculate the time,t we will have to consider ds/dt=95

Therefore,

32t+32=95

32t=95-32

t=63/32

t=1.96875s or 2s

1.96785 is the answer. ope it hels

step-by-step explanation:

where is the questions

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3