My 3-year old son had one entire week to clean up his toys i…

My 3-year old son had one entire week to clean up his toys in his room otherwise he wouldn’t get a treat after his dinner. He ended up forgetting to clean up his toys in that week and lost his treat. He didn’t go cry to his mom about it though, good job! How many seconds did he have to clean up his room?

When a person is driving and pushes the brake, a car does no…

When a person is driving and pushes the brake, a car does not immediately stop. The car travels a distance before it stops completely. This distance is called the braking distance. The formula for the braking distance of a car is d=v022g(f+G){“version”:”1.1″,”math”:”d=v022g(f+G)”} where  d{“version”:”1.1″,”math”:”d”}  is the braking distance (in feet) v0{“version”:”1.1″,”math”:”v0″} is the initial speed of the car (in feet per second) G{“version”:”1.1″,”math”:”G”}  is the roadway grade (written in decimal form)         f{“version”:”1.1″,”math”:”f”} is the coefficient of friction between the tires and the roadway g{“version”:”1.1″,”math”:”g”}  is the acceleration constant due to gravity (g{“version”:”1.1″,”math”:”g”} = 32.2 ft/sec2) a) Find and simplify the formula for braking distance if  G=0.04{“version”:”1.1″,”math”:”G=0.04″} and f=0.82{“version”:”1.1″,”math”:”f=0.82″} b) Using the formula from (a), complete the table below. Round to two decimal places. Initial Speed (ft/sec) Braking Distance (feet) 40 65 80 130