A foul tip of a baseball is hit straight upward from a height of 4 feet with an initial velocity of 88 feet per second. The function describes the ball's height above the ground, s(t), in feet, t seconds after it was hit. What is the instantaneous velocity of the ball 1 second after it is hit? 3 seconds after it is hit?

at t = 1 s: +56 ft/s

at t = 3 s: -8 ft/s

Step-by-step explanation:

The equation that describes the heigth of the ball at time t is

where

4 ft is the initial height at t = 0

+88 ft/s is the initial velocity of the ball

is the acceleration due to gravity

The instantaneous velocity of the ball  can calculated as the derivative of the position.

Calculating the derivative of s(t) with respect to time, we find an expression for the instantaneous velocity:

Now we can find the value of the instantaneous velocity at various times t:

- At t = 1 second, we have

- At t = 3 seconds, we have

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

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