QUESTION IMAGE
Question
- is the objects motion constant? explain.
- what is the velocity during the first 4 seconds?
- what is the velocity during the last 6 seconds?
drawing position - time graphs
position - time graph
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
$\Delta x = 5m$, $v = \frac{5}{6} \, m/s$
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No, the object's motion is not constant because its velocity changes over time.
6 m/s
$\frac{5}{6} \, m/s$