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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