if an object on earth is projected upward with an initial velocity of 32 feetper second, then its height after t seconds in given by h(t)=32t-16t^2
To find the height of the object after a certain time t, you can substitute the value of t into the equation h(t) = 32t - 16t^2. Let's say we want to find the height after 3 seconds.
Step 1: Substitute t = 3 into the equation:
h(3) = 32(3) - 16(3)^2
Step 2: Simplify the equation:
h(3) = 96 - 16(9)
= 96 - 144
= -48
Therefore, the height of the object after 3 seconds would be -48 feet. The negative sign indicates that the object has already started descending.
Remember, the height of the object will change as time passes, and you can use this equation to find the height at any given time t, by substituting that value into the equation h(t) = 32t - 16t^2.