Answer:
Height after 5 seconds is 215 ft
Step-by-step explanation:
Given that:
The initial velocity of object which is projected upwards is 123 ft/sec.
Height of the object, h after time t in seconds, is given as:
[tex]h=-16t^2+123t[/tex]
Here, t will always be positive, so [tex]123t[/tex] and [tex]16t^2[/tex] will also be positive.
But coefficient of [tex]16t^2[/tex] is negative, that means something is subtracted from the positive term [tex]123t[/tex].
To find:
Height of object after 5 seconds.
Solution:
Given that [tex]t=5[/tex] seconds.
Let us put the value in the given relation of [tex]h[/tex] and [tex]t[/tex]:
[tex]h=-16\times 5^2+123 \times 5\\\Rightarrow h=-400+615\\\Rightarrow \bold{h = 215\ ft}[/tex]
So, height after 5 seconds is 215 ft.
