A large explosion causes wood and metal debris to rise vertically into the air with an initial velocity of 96 feet per second. The function h(t) = 96 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 second(s) after the explosion: Answer: After 2 second(s), the height is 112 Incorrect feet.
Accepted Solution
A:
Answer:the height after 2 seconds will be 128 feetStep-by-step explanation:Data provided in the question:Initial velocity = 96 feet per secondThe function of height of falling debris above the ground is given as:h(t) = 96t - 16t²A) To find height after time t = 2 secondssubstituting the value of time in the above function, we geth(t) = 96 × 2 - 16 × 2²orh(t) = 192 - 16 × 4orh(t) = 192 - 64orh(t) = 128 feetHence,the height after 2 seconds will be 128 feet