If a ball is thrown in the air with a velocity 52 ft/s, its height in feet t seconds later is given by y = 52t − 16t2. (a) find the average velocity for the time period beginning when t = 2 and lasting (i) 0.5 second. (ii) 0.1 second. (iii) 0.05 second. (iv) 0.01 second.

(i)

(ii)

(iii)

(iv)

Step-by-step explanation:

The given function is

where, h is the height of ball after t seconds.

It can be written as

At x=2,

The average of a function f(x) on [a,b] is

The time period beginning when t = 2 and lasting with h.

(i)

Here, h =  0.5 second

(ii)

Here, h =  0.1 second

(iii)

Here, h =  0.05 second

(iv)

Here, h =  0.01 second

pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

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