A large explosion causes wood and metal debris to rise vertically into the air with an initial velocity of 144 feet per second. The function h ( t ) = 144 t − 16 t 2 gives the height of the falling debris above the ground, in feet, t seconds after the explosion. A) Use the given function to find the height of the debris 2 seconds after the explosion: After 2 seconds, the height is feet.

B) How many seconds after the explosion will the debris hit the ground? seconds.

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!