Answer:
An object is said to be a freely falling body if it is thrown or dropped vertically at an initial velocity and then only gravity affects its motion.
The position of any freely falling body is determined by the initial velocity and the initial height.
If h is the height measured in feet, t is the number of seconds the object has fallen from an initial height h0 with an initial velocity or speed v0 (inft/sec), then the model for height of a falling object is: h(t)=−16t2+v0t+h0
The “ −16t2 ” term comes from the acceleration due to gravity pulling the object towards the ground. The velocity of the object at a particular time t is given by: v(t)=−32t+v0
When an object is thrown upwards from ground with a particular initial velocity, the initial height is zero and when an object is dropped from an initial height the initial velocity is zero. If the value of h is in meters and s in meters/sec, the acceleration due to gravity in meters/sec is 4.9 , the equation becomes: h(t)=−4.9t2+v0t+h0 and then the velocity of the object at a particular time t is given by: v(t)=−9.8t+v0
Step-by-step explanation:
