Question

A kite is sailing on the ocean. The table gives your height at different times.

Time (seconds): 0,1,2,3

Height (feet): 2,4,6,8

a. How many feet do you move each second?

b. What is your speed?

c. Is your velocity positive or negative?

d. What is your velocity? Give the units.

(Please answer all questions!!)

Answer 1

Question a:

When t = 0 ⇒ the height is 2 feet
When t = 1 ⇒ the height is 4 feet
When t = 2 ⇒ the height is 6 feet

For every one second, the height increase by 2 feet

Question b:
The speed is given by height ÷ time
Total height = 8 - 2 = 6 feet
Total time = 3 - 0 = 3 seconds
Speed = 6÷3 = 2 feet per seconds

Question c:
The velocity is positive as the height increase along the increase in time

Question d:
The velocity is the rate of change in speed. The speed increases 2 feet for every 1 second, so the velocity is 2 feet/s