Question

What is the total displacement of the object? Please explain why/show your work

Answer 1

Answer: TOTAL DISPLACEmENT = 312.5 m

Explanation: BY USING FORmULA OF AREA OF TRIANGLE

TOTAL DISPLACEmENT = 1/2 BASE X ALTITUDE

= 1/2 (25-0)(35-10)

= 1/2 (25)(25)

= 625/2

= 312.5 m

Answer 2

The total displacement of the object is
`\( 100 \, \text{m} \).`

To determine the total displacement of the object, we need to find the area under the velocity vs. time graph. In this case, as the graph represents a constant acceleration, the area under the curve corresponds to the displacement.

Since the graph forms a triangle, we can find the area of the triangle using the formula for the area of a triangle:

`\[ \text{Area} = (1)/(2) * \text{base} * \text{height} \]`

The base of the triangle is the time interval, and the height is the change in velocity.

For the given coordinates (0,10), (10,20), (20,30), the time intervals are 10 seconds each, and the corresponding changes in velocity are 10 m/s and 10 m/s.

`\[ \text{Area} = (1)/(2) * 10 \, \text{s} * 10 \, \text{m/s} + (1)/(2) * 10 \, \text{s} * 10 \, \text{m/s} \]`

`\[ \text{Area} = 50 \, \text{m} + 50 \, \text{m} = 100 \, \text{m} \]`

So, the total displacement of the object is
`\( 100 \, \text{m} \).`