So, an. X is 155°.
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Which element makes up 1/400 of the human body
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Let s = the speed of the slower train in km/hrs+10 = the speed of the faster train in km/hrLet t = time in hrs for the slower train to go 160 kmt-5 = time in hrs for faster train to go 160 km---------------Slower train:(1)
160=s.t
Faster train:(2) 160=(s+10) .(t-.5)From (1)(1) t=160/s
use the relations given in following screenshot and then use quadratic equation.
160=s.t
Faster train:(2) 160=(s+10) .(t-.5)From (1)(1) t=160/s
use the relations given in following screenshot and then use quadratic equation.
Answer:
- The maximum height is 136 ft
- The time it takes to achieve this height is 1.5 s.
Explanation:
<u>1. Function for the height (given):</u>
<u />
<u>2. Type of function</u>
That is a quadatic function, whose graph is a parabola that opens downward.
The maximum of the function, i.e. the maximum height, is the vertex of the parabola.
The vertex of a parabola with the genral equation is at the x-coordinate
<u>3. Time to achieve the maximum height</u>
Substitute b with 48 and a with - 16:
Then, time when the object achieves the maximum height it 1.5s
<u />
<u>4. Maximum height:</u>
Replace t with 1.5 in the equation, to find the maximum height, h(1.5)
Then, the maximum height is 136 ft