WAEC 2016 Physics · Question 45
The two person of a body undergoing a uniformly accelerated motion are (10s, 10) and (30s, 50). On the velocity-time graph pf the body.
Options
- A.0.5
- B.2.0
- C.10.0
- D.40.0
Answer: B. 2.0
Explanation written with AI and checked against the answer key
Analyze the question: The question is a bit garbled, but it says two points on the velocity-time graph of a body in uniformly accelerated motion are (10 s, 10 m/s) and (30 s, 50 m/s). The usual WASSCE question asks for the acceleration of the body, which is the slope of the graph.
Concept: On a velocity-time graph, the slope equals the acceleration:
a = (v₂ − v₁) / (t₂ − t₁)
Solution:
- Change in velocity = 50 − 10 = 40 m/s
- Change in time = 30 − 10 = 20 s
a = 40 / 20 = 2.0 m/s²
Check against the options: 2.
Answer: B (2.0 m/s²)
Tip: When you see points on a velocity-time graph, think "slope = acceleration" and "area under the graph = distance." Always subtract in the same order (final minus initial) for both velocity and time so the signs stay consistent.
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