Step-by-step explanation:
Given the expression for the position of a body moving along the s-axis expressed as;
The acceleration of the body function will be gotten by finding the second derivative of the displacement function as shown;
First we need to get the time taken when the velocity is zero.
factorize;
t = 54±√54²-4(3)(200)/2(3)
t = 54±√2916-2400/2(3)
t = 54±√516/6
t = 54±22.72/6
t = 54+22.72/6 and 54-22.72/6
t = 12.79s and t = 5.21s
Get the acceleration;
at t = 12.79
a = 6t-54
a = 6(12.79)-54
a = 76.74-54
a = 22.74m/s²
at t = 5.21
a = 6t-54
a = 6(5.21)-54
a = 31.26-54
a = -22.74m/s²
Hence the body's acceleration each time the velocity is zero are 22.74m/s² and -22.74m/s²
Answer:
0.234
Step-by-step explanation:
If it is cylindrical, the circumference is the diameter x pi. If it is rectangular, it is the length of the sides added together.
Answer: 36 cars and 9 motorcycles
Step-by-step explanation:
- It's given that he has x motorcycles to 4x cars
- After he bought the cars and sold the motorcycles, he had 4x+4 cars to x-4 motorcycles
- Since after this selling/buying, he has 8 times more cars than motorcycles, you can write the equation 4x+4=8(x-4)
- Once you solve you get 36 cars and 9 motorcycles