math
posted by Beth on .
Hello! I would be really grateful if you could help me with this word problem.
Here is the problem: In a cartoon, a malfunctioning cannon fires a hungry coyote towards the bottom of a cliff with an initial rate of 100 feet per second. If the cliff is 1250 feet tall, how long will it take the coyote to reach the desert floor? (To account for gravity, use the formula d= rt + 16t^2, where d = distance, r= initial rate, and t = time. )
Thank You so much!

Just substitute into the equation:
1250 = 100t +16t^2
rewrite as 16t^t + 100 t 1250 = 0
Factor and solve for t