Iknow that this is a lot to ask for but i am really struggling with these and my teacher is sub-par, feel free to assist with as many or as few as you want, i really appreciate it.

a cyclist accelerates down a hill from rest at 1.5 m/s2. assuming the acceleration is uniform, how long is required to reach a velocity of 6 m/s?

a cannon ball is thrown straight down from a tower with an initial velocity of 50 m/s. after 2.0 s, what is its final velocity?

what height will be reached by an arrow shot straight up at an initial velocity of 15 m/s? (ignore air resistance.)

a cyclist, riding at a constant speed of 5.0 m/s, sees a flash of lightning. wanting to get home quickly, she accelerates at 1.0 m/s2 for 4.0 s and then rides at a constant speed for 30.0 s. if she then takes a further 12.0 to slow down uniformly to rest, the total distance traveled after seeing the lightning flash is…?

The answers are below

Explanation:

1.-

Data

vo = 0 m/s

t = ?

vf = 6 m/s

a = 1.5 m/s²  

                                t = vf/ a

                                 t = 6 / 1.5

                                t = 4 s

2.-

Data

vo = 50 m/s

t = 2 s

vf = ?

g = 9.81 m/s2

                              vf = vo +´gt

                              vf = 50 + (9.81)(2)

                              vf = 50 + 19.62

                              vf = 69.62 m/s

3.-

Data

height = ?

vo = 15 m/s

g = 9.81 m/s

vf = 0 m/s

                           h = vo² / 2g

                           h = 15² / (2 x 9.81)

                           h = 225 / 19.62

                          h = 11.46 m

answer would be letter choice (a),   a ball resting on a shelf. would be another example of potential energy   >   stored energy > not moving.

a ball spinning on a finger   >   kinetic energy > moving energy

a ball rolling on the ground   >   kinetic energy   > moving energy

a   ball flying through the air   > kinetic energy   >   moving energy

hope that                                         : )

the answer for apex is the lowest