U
analyzing projectile motion represented by a table
the table represents the height of a ball that is dropped.
h(t), after t seconds.
determine the initial height of the ball and the time
interval before the ball hits the ground
0
1
2
3
4
5
6
h(t)
150
145.1
130.4
105.9
71.6
27.5
-26.4
initial height = 0; hits the ground between 5 and 6
seconds
initial height = 150, hits the ground between 5 and 6
seconds
initial height = 0; hits the ground between 3 and 4
seconds
initial height = 150, hits the ground between 4 and 5
seconds

  about 5.6 days

step-by-step explanation:

we can fill the given information into the decay equation and solve for the value of t at which half the sample remains.

the half-life is about 5.6 days.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.