5. 16t2 gives the distance in feet a free-falling object falls in t seconds.
16t2 + 10t gives the distance an object falls in t seconds when it is thrown down with an initial velocity of 10 feet per second. Use this polynomials to:
Find how far a quarter thrown down with an initial velocity of 10 feet per second from a hot air balloon will travel after 5 seconds.
d = 16t^2 + 10t,
t = 5 seconds.
d is in feet.
To find how far a quarter thrown down with an initial velocity of 10 feet per second from a hot air balloon will travel after 5 seconds, we need to evaluate the polynomial 16t^2 + 10t when t equals 5.
1. Substitute t = 5 into the polynomial: 16(5)^2 + 10(5).
2. Simplify: 16(25) + 10(5) = 400 + 50 = 450.
3. Therefore, the object will travel 450 feet after 5 seconds.
By plugging in the value of t into the polynomial, we can find the distance traveled by the object at a specific time.