If michelle rollerblades around a circular track with a radius of 80 meters, how far does she skate? use 3.14 for pi. round to t
2 answers:
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The height at t seconds after launch is
s(t) = - 16t² + V₀t
where V₀ = initial launch velocity.
Part a:
When s = 192 ft, and V₀ = 112 ft/s, then
-16t² + 112t = 192
16t² - 112t + 192 = 0
t² - 7t + 12 = 0
(t - 3)(t - 4) = 0
t = 3 s, or t = 4 s
The projectile reaches a height of 192 ft at 3 s on the way up, and at 4 s on the way down.
Part b:
When the projectile reaches the ground, s = 0.
Therefore
-16t² + 112t = 0
-16t(t - 7) = 0
t = 0 or t = 7 s
When t=0, the projectile is launched.
When t = 7 s, the projectile returns to the ground.
Answer: 7 s
s(t) = - 16t² + V₀t
where V₀ = initial launch velocity.
Part a:
When s = 192 ft, and V₀ = 112 ft/s, then
-16t² + 112t = 192
16t² - 112t + 192 = 0
t² - 7t + 12 = 0
(t - 3)(t - 4) = 0
t = 3 s, or t = 4 s
The projectile reaches a height of 192 ft at 3 s on the way up, and at 4 s on the way down.
Part b:
When the projectile reaches the ground, s = 0.
Therefore
-16t² + 112t = 0
-16t(t - 7) = 0
t = 0 or t = 7 s
When t=0, the projectile is launched.
When t = 7 s, the projectile returns to the ground.
Answer: 7 s
Answer:
Equation in slope-intercept form that goes through (12, 4) and (20,8) is:
Step-by-step explanation:
Given two points are:
Slope intercept form of line is given as:
Here m is the slope of the line and b is the y-intercept.
Slope of a line is calculated by the formula:
Putting the values
Putting the value of slope in slope-intercept form we get
To find the value of b, any one point will be put in the equation
Putting the first point (12,4) in the equation
Putting the value of b
Hence,
Equation in slope-intercept form that goes through (12, 4) and (20,8) is: