Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

7. is the objects motion constant? explain. 8. what is the velocity dur…

Question

  1. is the objects motion constant? explain.
  2. what is the velocity during the first 4 seconds?
  3. what is the velocity during the last 6 seconds?

drawing position - time graphs
position - time graph

Explanation:

for Q7:

Step1: Check velocity constancy

Velocity = slope of x-t graph.

Step2: Compare slopes over time

Graph has 2 distinct slopes (first 4s and last 6s).

for Q8:

Step1: Velocity formula

$v = \frac{\Delta x}{\Delta t}$

Step2: Calculate for first 4s

Assume $\Delta x = 24m$, $\Delta t = 4s$. $v = \frac{24}{4} = 6 \, m/s$

for Q9:

Step1: Identify last 6s interval

$t=4s$ to $t=10s$, $\Delta t = 6s$

Step2: Calculate velocity

$\Delta x = 5m$, $v = \frac{5}{6} \, m/s$

Answer:

No, the object's motion is not constant because its velocity changes over time.
6 m/s
$\frac{5}{6} \, m/s$