1. The part that shows the body is accelerating is the first 2 hours (ABE). The acceleration is 20 Km/h²
2. The part that shows the body is coming to rest the last 2 hours (CDF)
3. The distance travelled in the first 2 hours is 40 Km
1. How to determine the accelerated motion
Acceleration is defined as the rate of change of velocity which time. It is expressed as
a = (v – u) / t
Where
- a is the acceleration
- v is the final velocity
- u is the initial velocity
- t is the time
From the diagram (ABE), we can see that the body starts from rest and attain a final velocity (40 Km/h) within the first 2 hours. This clearly indicates that the body is accelerating.
The acceleration can be obtained as followed:
- Initial velocity (u) = 0 Km/h
- Final velocity (v) = 40 Km/h
- Time (t) = 2 hours
- Acceleration (a) = ?
a = (v – u) / t
a = (40 – 0) / 2
a = 20 Km/h²
2. How to determine the part showing the body is coming to rest
From the diagram (CDF), we can see that the object velocity changes from 40 to 0 within the last 2 hours. This clearly indicates that the object caming to rest.
3. How to determine the distance travelled in the first 2 hours
- Initial velocity (u) = 0 Km/h
- Final velocity (v) = 40 Km/h
- Time (t) = 2 hours
- Acceleration (a) = 20 Km/h²
- Distance (s) = ?
v² = u² + 2as
v² = 2as
s = v² / 2a
s = 40² / (2 × 20)
s = 40 Km
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