Answer:
- After 4 seconds the height is 480 meters.
- The maximum height is 484 meters.
- The ball hits the ground after 10 seconds
Step-by-step explanation:
The height after four seconds is h(4) = -16 * r² + 144*4+160 = 480
The maximum height of the ball is the value it takes at its vertex 'v = -b/2a'. In this case a = -16 and b = 144, so the v = -144/-32 = 4.5. The maximum height of the ball as a result is h(4.5) = -16 (4.5)² + 144*4.5 + 160 = 484
To find the moment the ball hits the ground, we need to find when h takes the value 0 by using the quadratic formula, with a = -16, b = 144 and c = 160.
Since t cant take negative values, then the correct value is 10. The ball hits the ground after 10 seconds.
Question 1:
The labeled points are points from the drawing are:
A,B,C,D,E
Question 2:
The intersection of the two lines is a point since the necessary condition for the two lines to intersect is that they should be on the same plane, hence they form a point.
Thus the correct answer is: True
Question 3:
The name for a given line is given from the end points that forms the line. Hence given that the two points forming the line is B and P, the correct answer is option C]
Question 4:
There are 5 letters and you use 2 to name the line, so the number of choices will be given by:
5C2=5!/(2!(5-2)!)
=(5×4×3×2×1)/(2×1×3×2×1)
=10
Question 5:
Collinear points are three or more points which lie on the same single straight line. In our case the points are:
T,X,V
the answer is 144.837 kilometers
