A bowling ball is rolled down and alley with a constant velocity of 1.4m/sec. at an angle of 86deg. To the starting line. The position of the person throwing the bowling ball can be represented by the point (0,0). Where is the ball after 8 seconds?
(0.1,1.4)
(0.6,8.0)
(0.8,11.2)
(11.2,0.8)
I got D. Can someone help ? Is this right ?
When I multiply that I get 11.2.
So would it be C then?
not right
HINT : total distance traveled is ... 8 s * 1.4 m/s
A curve is described by the following parametric equations:
x equals 3 plus t line break
y equals t squared minus 4
Which statement best describes the curve?
Correct answer A. The curve is a parabola with a vertex at left parenthesis 3 comma negative 4 right parenthesis and is traced from left to right for increasing values of t.
Identify the parametric equations that represent the same graph as the following parametric equations. Select all that apply.
x = 4t
y equals t squared minus 1
Ans: B and C
A bowling ball is rolled down the alley with a constant velocity of 1.4 m/sec. at an angle of 86° to the starting line. The position of the person throwing the bowling ball can be represented by the point left parenthesis 0 comma 0 right parenthesis. Where is the ball after 8 seconds?
Ans: C. left parenthesis 0.8 comma 11.2 right parenthesis
A graph on a coordinate plane shows a horizontal ellipse. The center is at the origin. The major axis goes from left-parenthesis negative 5 comma 0 right-parenthesis to left-parenthesis 5 comma 0 right-parenthesis. The minor axis goes from left-parenthesis 0 comma negative 3 right-parenthesis to left-parenthesis 0 comma 3 right-parenthesis. Arrows are counterclockwise on the ellipse. A point at left-parenthesis 5 comma 0 right-parenthesis is labeled t = 0 and a point at left-parenthesis 0 comma 3 right-parenthesis is labeled t = 1.57.
Use the graph to answer the question.
Which set of parametric equations represents the graph of the function shown?
C. x = 5 cos t and y = 3 sin t
All of your answers are correct! Good job!
To find the position of the ball after 8 seconds, we need to break down the velocity into its horizontal and vertical components.
The horizontal component can be found by multiplying the constant velocity (1.4 m/s) by the cosine of the angle (86 degrees):
horizontal component = 1.4 m/s * cos(86 degrees)
Using a calculator, we find that the horizontal component is approximately 0.2532 m/s.
The vertical component can be found by multiplying the constant velocity (1.4 m/s) by the sine of the angle (86 degrees):
vertical component = 1.4 m/s * sin(86 degrees)
Using a calculator, we find that the vertical component is approximately 1.3891 m/s.
Now, we can calculate the displacement in the horizontal direction after 8 seconds:
horizontal displacement = horizontal component * time
= 0.2532 m/s * 8 s
= 2.0256 m
Likewise, we can calculate the displacement in the vertical direction after 8 seconds:
vertical displacement = vertical component * time
= 1.3891 m/s * 8 s
= 11.1128 m
Therefore, the position of the ball after 8 seconds is (2.0256, 11.1128).
Looking at the options provided, it seems that none of them match the calculated position. So, none of the given options are correct.