Answer: *For 2 being an exponent*: 3 seconds
*For 2 being multiplied to t* : 4.5 seconds
Step-by-step explanation:
*For 2 being an exponent*
It says we want to know the time it will take to reach the ground. This means that the height will be 0 at this time.
So we can set h(t) = 0 and solve for t.
[tex]0 = 144 - 16t^2[/tex]
Subtract 144: [tex]-144 = -16t^2[/tex]
Divide -16: [tex]9 = t^2[/tex]
Now square root: [tex]3 = t[/tex]
So it will take 3 seconds to reach the ground.
*For 2 being multiplied to t*
It says we want to know the time it will take to reach the ground. This means that the height will be 0 at this time.
So we can set h(t) = 0 and solve for t.
[tex]0 = 144 - 16t2[/tex]
We can simplify by multiplying the -16 and 2: [tex]0 = 144 - 32t[/tex]
Subtract 144: [tex]-144 = -32t\\[/tex]
Divide by -32: 4.5 = t
So it will take 4.5 seconds to reach the ground.
