Answer:
a) 8 seconds
b) 3 seconds
c) 170 meters
Step-by-step explanation:
a) When the ball lands in the sea, s = -80.
-80 = 30t − 5t²
5t² − 30t − 80 = 0
t² − 6t − 16 = 0
(t + 2) (t − 8) = 0
t = -2 or 8
t = 8 seconds
b) The ball reaches its highest point when the velocity is 0 (or at the vertex of the parabola).
t = -b / (2a)
t = -30 / (2 × -5)
t = 3 seconds
c) The highest point is:
s = 30(3) − 5(3)²
s = 45
So the ball rises 45 meters, falls 45 meters, then falls 80 meters.
The total distance traveled is 45 + 45 + 80 = 170 meters.
The rounded value is option B) 6.03 which is rounded to the nearest hundredth.
<u>Step-by-step explanation:</u>
- To find the value of 8.3 x 24.2 x 0.03, we need to multiply the given numbers to get a decimal value.
- And then, after getting the value of 8.3 x 24.2 x 0.03 it should be rounded to the nearest hundredth.
<u>So, let's multiply the numbers first :</u>
8.3 × 24.2 × 0.03 = 6.0258
The value is 6.0258
<u>To round the value 6.0258 to the nearest hundredth :</u>
- The first number next to the decimal point represents the tenth.
- The second number next to the decimal point is the hundredth.
- The third number next to the decimal point is thousandth.
Therefore, to round the value to the nearest hundredth, look for the thousandth number is either less than 5 or greater and or equal to 5.
If, thousandth place is greater or equal to 5, then the hundredth number should be increased by 1.
The hundredth is 6.02 and the number in the thousandth place is 5. So add 1 to the hundredth place.
The value is rounded to 6.03 to the nearest hundredth.
7.5 × 10-4
That's the scientific notation answer ^
You add them together to get 5 and 3/4 feet or 5.75 feet.
