The height of a projectile that has been launched upward can be determined by finding the sum of the product of the object's acceleration and t², the product of the object's initial velocity and t, and the object's initial height, where t represents the number of seconds after the object has been launched. An object's acceleration can be assumed to be -32 ft/s², which is the acceleration due to gravity.

 

1. 1. Why do you think the acceleration due to gravity is represented by a negative number?
2. 2. Identify a formula to represent the height of a projectile for any given time t.
3. 3. If a projectile is launched into the air from the ground with an initial velocity of 192 fee per second, how long after launch will the projectile be at a height of 256 feet?                 Provide detailed explanation of work.
4. 4. Can you use your previous answer to determine how long it will take for the object to reach its maximum height? If so, determine how long it will take and find the                       maximum height.
5. 5. How long after launch will the projectile land on the ground? Show your work.
6. 6. If the initial velocity stays the same, but the height the projectile is launched from changes, how would the amount of time change that it takes for the projectile to reach its      maximum height? How would its maximum height change?
7. 7. Assuming the velocity stays the same, at what height above the ground does the projectile need to be launched to increase the amount of time it will take for the projectile      to return to the ground by one second?