If a ball is thrown into the air with a velocity of 34 ft/s, its height in feet t seconds later is given by y = 34t − 16t2.(a) find the average velocity for the time period beginning when t = 2 and lasting for each of the following.(i) 0.5 seconds ft/s(ii) 0.1 seconds ft/s(iii) 0.05 seconds ft/s(iv) 0.01 seconds ft/s(b) estimate the instantaneous velocity when t = 2. ft/s

(a). (i) ; (ii) ; (iii); (iv)

(b).

Step-by-step explanation:

The formula you need to use is:

Then, in this case:

(a) Susbtituting values, we get:

(i)  

(ii)  

(iii)  

(iv)  

(b) Observe that as the time after 2 second gets smaller, the average velocity gets closer to . Therefpre, we can can estimate that the instantaneous velocity when is:

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.