The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward.


Which statements are true? Check all that apply.
The ball is at the same height as the building between 8 and 10 seconds after it is thrown.The height of the ball decreases and then increases.The ball reaches its maximum height about 4 seconds after it is thrownThe ball hits the ground between 8 and 10 seconds after it is thrown.The height of the building is 81.6 meters.

The table represents the height of a ball thrown up from the roof of a building ht in meters t seconds after it is thrown upwardWhich statements are true Check class=

Respuesta :

* First is correct - the height crosses the 0 point between 8 and 10 secs

* Third is correct - 81.6 m is max at 4 secs

all others incorrect

fichoh

The true statements from the options given about the height of the ball thrown are two, which are :

  • The ball is at the same height as the building between 8 and 10 seconds after it is thrown

  • The ball reaches its maximum height about 4 seconds after it is thrown

Evaluating the options given :

Negative values represents the heights of the ball where the ball's height is below the maximum height of the building while positive h(t) values indicates height of the ball above the building.

  • The point where the height of the ball and the building is the same will be h(t) = 0 ; since 0 falls inbetween h(t) = 6.4 and -90 ; then statement 1 is correct.

  • The h(t) values were initially positive and then negative, meaning that height increased then decreased, hence , statement 2 is incorrect.

  • Since the maximum value of h(t) in the table is attained at t = 4 ; hence, statement 3 is correct.

  • Since the height of the building is unknown, the time in which the ball hit the ground cannot be known from the information, hence, statement 4 and 5 are incorrect.

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