Question

the following graph represents the position as a function of time for a moving object.
what is the velocity of the object?
a. 4 m/s
b. 20 m/s
c. 8 m/s
d. 5 m/s
question 2 (1 point)
an old lady rolls down a hill at 3 meters/second. the hill is 36 meters long. how many seconds does it take the old lady to reach the bottom of the hill?
a) 39 seconds b) 12 seconds

Explanation:

Step1: Recall the formula for velocity

Velocity \(v=\frac{\Delta x}{\Delta t}\). From the graph, when \(t = 5s\), \(x=20m\).

Step2: Calculate the velocity

Substitute \(\Delta x = 20m\) and \(\Delta t=5s\) into the formula: \(v=\frac{20m}{5s}=4m/s\).

For the second question:

Step1: Recall the formula \(t=\frac{d}{v}\)

Here, \(d = 36m\) (distance) and \(v = 3m/s\) (velocity).

Step2: Calculate the time

Substitute the values into the formula: \(t=\frac{36m}{3m/s}=12s\).

Answer:

For the first question: A. \(4m/s\)
For the second question: b) \(12\) seconds