If a ball is thrown straight up into the air with an initial velocity of 95 ft/s, its height in feet after t second is given by y=95t−16t2. find the average velocity for the time period beginning when t=1 and lasting(i) 01 seconds: (ii) 001 seconds: (iii) 0001 seconds: finally based on the above results, guess what the instantaneous velocity of the ball is when t=1.

Instantaneous velocity is at t=1.

Explanation:

The height in feet after t second is given by y(t)=95t−16t2.

Average velocity is defined by:

.

i)

⇒ .

ii)

⇒ .

iii)

⇒ .

Instantaneos velocity is defined by:

So we have seen "manually" that when , .

So instantaneous velocity must be at t=1.

b) returns freshwater to the earth.

c) returns freshwater to the earth.c) occurs after condensation.

d) returns freshwater to the earth.c) occurs after condensation.d) roughly equal to the amount of evaporation.

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