h(t)=−16.1t2+393t+6The function models h, the height of a firework shell in feet t seconds after launch. Which of the following statements is the best interpretation of the ordered pair (10,2326) ?Choose 1 answer:(A) At 10 seconds after launch, the firework shell has traveled a total of 2,326 feet.(B) At 10 seconds after launch, the height of the firework shell is 2,326 feet.(C) When the height of the firework shell is 2,326 feet, the shell is traveling at a speed of 10 feet per second.(D) When the height of the firework shell is 2,326 feet, the shell has also traveled 10 feet horizontally.
Q. h(t)=−16.1t2+393t+6The function models h, the height of a firework shell in feet t seconds after launch. Which of the following statements is the best interpretation of the ordered pair (10,2326) ?Choose 1 answer:(A) At 10 seconds after launch, the firework shell has traveled a total of 2,326 feet.(B) At 10 seconds after launch, the height of the firework shell is 2,326 feet.(C) When the height of the firework shell is 2,326 feet, the shell is traveling at a speed of 10 feet per second.(D) When the height of the firework shell is 2,326 feet, the shell has also traveled 10 feet horizontally.
Plug in t=10: Plug in t=10 into the function h(t) to check if the height is indeed 2326 feet.h(10)=−16.1(10)2+393(10)+6
Calculate square of 10: Calculate the square of 10. (10)2=100
Multiply −16.1: Multiply −16.1 by 100.−16.1×100=−1610
Multiply 393: Multiply 393 by 10.393×10=3930
Add all terms together: Add all the terms together.−1610+3930+6=2326
Confirm height at t=10: Since h(10) equals 2326, the ordered pair (10,2326) means at 10 seconds after launch, the height of the firework shell is 2326 feet.
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