Question

This relationship is given by the equation, v = gt. In this equation, g is the acceleration due to gravity, t is the number of seconds, and v is the velocity of the falling object. Note that g is a constant.

Find and interpret the meaning of the initial value and the rate of change in this context

A. The initial value is 9.8. That means that object’s initial velocity 9.8 m/s. The rate of change is 9.8. That means the acceleration due to gravity is 9.8 m/s2.
B. The initial value is 0. That means that object’s initial velocity 0 m/s. The rate of change is 98. That means the acceleration due to gravity is 98.0 m/s2.
C. The initial value is 0. That means that object’s initial velocity 0 m/s. The rate of change is 9.8. That means the acceleration due to gravity is 9.8 m/s2.
D. The initial value is 9.8. That means that object’s initial velocity 9.8 m/s. The rate of change is 0.98. That means the acceleration due to gravity is 0.98 m/s2.

Answer 1

v=gt,

Initial value when time t=0, v=g*0=0.

t=0 s, v=0 m/s means that object’s initial velocity 0 m/s.

v=gt, and g is a constant g=9.8 m/s². We can write v=9.8*t.

Rate of change 9.8 means the acceleration due to gravity is 9.8 m/s².

Answer: C. The initial value is 0. That means that object’s initial velocity 0 m/s. The rate of change is 9.8. That means the acceleration due to gravity is 9.8 m/s2.