determining the correct table for projectile motion\na ball is dropped from above ground level and hits the…

determining the correct table for projectile motion\na ball is dropped from above ground level and hits the ground sometime between 4 and 6 seconds after it is dropped. the balls height in meters is modeled by a function h(t), where t represents time in seconds. which table most likely relates to this function?

determining the correct table for projectile motion\na ball is dropped from above ground level and hits the ground sometime between 4 and 6 seconds after it is dropped. the balls height in meters is modeled by a function h(t), where t represents time in seconds. which table most likely relates to this function?

Answer

Explanation:

Step1: Analyze initial height

The ball is dropped from above - ground level, so at (t = 0), (h(0)>0). We can rule out the table with (h(0)= - 150) since height cannot be negative at the start of the drop.

Step2: Analyze height at impact

The ball hits the ground between (4) and (6) seconds. At the ground, (h(t)=0). As time progresses, the height should decrease. In the first table, (h(4)=-8.4) which means it has already passed the ground - level before (t = 4) seconds. In the second table, (h(4)=21.6) and (h(6)= - 76.4), which implies it hits the ground between (4) and (6) seconds. In the fourth table, (h(6)=3.6) which means it has not hit the ground yet at (t = 6) seconds.

Answer:

The second table (with (t = 0,h(0)=100); (t = 2,h(2)=80.4); (t = 4,h(4)=21.6); (t = 6,h(6)=-76.4))