You can ride a bicycle 15 mph. your sister rides 12 mph. you give her a one hour head start. in how many hours will you catch up if neither of you stops?

4 hours

Step-by-step explanation:

It is given you can ride a bicycle 15 mph. Your sister rides 12 mph. You give her a one hour head start.

Your info:

Speed = 15 mph , let the distance covered be = 'x' miles , time taken to cover the distance,

time = =

Sister's info:

Speed = 12 mph , let the distance covered be = x miles, time taken to cover the distance of 'x' miles,

time =

Equation:  

Sister's time - your time = 1

Multiplying both the sides by 60 we get,

miles

Therefore, your time to catch up:

hours

Therefore, it will take 4 hours to catch up if neither of your stop.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3