Afootball is punted into the air. its height h, in metres, after t seconds is given by the equation h = ? 4.9t2 + 24.5t +1. how high is the ball after 1 second?

After 1 second, the ball is 30.4 meters high.

Step-by-step explanation:

Hi, to answer this question we simply have to substitute t=1 in the equation given:

h = 4.9t2 + 24.5t +1

Replacing t (seconds) by 1 (second)

h= 4.9 (1) ^2 + 24.5 (1) +1

Solving for h:

h= 4.9 (1) +24.5 +1

h= 30.4 meters

After 1 second, the ball is 30.4 meters high.

Feel free to ask for more if needed or if you did not understand something.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

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

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft