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1. Okay, you got the equation x^2 = y^2 - 4

If x = 0, what is y = p = ? Replace in the equation above.

If x = 5, what is y = t = ? Replace in the equation above

As for getting the greatest possible slope, consider this. The equation for slope is:

m = (y2-y1)/(x2-x1)

Now, I already got the values of x fixed. What's left is the denominator, and to achieve the greatest possible slope, I need to get the highest possible value in the denominator. Suppose that y2 = ħa and y1 = ħb, the highest value would be:

y2 - y1 = (+a) - (-b) = a + b

That's good ! :D (Clapping) Quote:

2. Here, they gave you two different speeds along the SAME distance but with different time intervals. Let me emphasize SAME again Establish a ratio between the two speeds.

V1 = 45

V1 = d/t1

45 = d/t1

V2 = 30

V2 = d/t2

30 = d/t2

Equate these two rates, and then try to get a ratio of t1/t2. Remember, if you want to get the distance according to the ratio:

t1/t2

then t1/(t1+t2) should be multiplied with 45 to get your distance.

Note to the OP : this is because $\displaystyle t_1+t_2=1$ :)