Answer :
The velocity of an object fired directly upward is given by V = 80 – 32t, where t is in seconds.
When will the velocity be between 32and 64 feet per second?I will set up the compound inequality, and then solve for t: 32 < 80 – 32t < 64
32 – 80 < 80 – 80 – 32t < 64 – 80
–48 < –32t < –16 –48 / –32 > –32t / –32 > –16 / –32 1.5 > t > 0.5
When will the velocity be between 32and 64 feet per second?I will set up the compound inequality, and then solve for t: 32 < 80 – 32t < 64
32 – 80 < 80 – 80 – 32t < 64 – 80
–48 < –32t < –16 –48 / –32 > –32t / –32 > –16 / –32 1.5 > t > 0.5