When jeff ran up a hill at 7.0m/s the horizontal component of velocity vector was 5.1m/s

4.8 m/s

Explanation:

The complete question is written below:

Jeff ran up the hill at 7.0 m/s. The horizontal component of Jeff's velocity vector was 5.1 m/s. What  was the vertical component of Jeff's velocity?

We have the following data:

Jeff's velocity:

Horizontal component of Jeff's velocity vector:

We need to find the vertical component of Jeff's velocity vector

If we observe the figure attached, both components of Jeff's velocity vector and the vector itself, form a right triangle where is the hypotenuse. Hence, we can use the pithagoream theorem to find :

Finding :

Finally:

answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6