11) Read the following paragraph. Then, answer the question. Johnny notices that when he runs up the stairs at school, he is short of breath and
very tired. He decides he wants to lose weight and get healthy. Johnny spends a
couple of days recording everything he eats and notices that he drinks soda three
times a day and only drinks water once a day. Johnny hypothesizes that if he stops
drinking soda, then he will lose weight. Johnny decides to only drink water for one
month and monitor his weight. Every week on Sunday morning, Johnny weighs
himself. After the first week, he lost four pounds. For each Sunday after that, he
continued to lose two pounds a week, losing a total of ten pounds.
What is the independent variable?

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west