JAMB UTMEPhysicsMechanics2022

A car accelerates from rest at 2 m/s² for 5 s. Final velocity?

A5 m/s
B7 m/s
C10 m/sCORRECT
D25 m/s
AI
Toasta AI Explanation
Why the answer is C, and why the others tempt you.
## The reasoning This is **uniform acceleration** — when velocity increases steadily. The key formula is: **v = u + at** Where: - v = final velocity (what we're finding) - u = initial velocity = 0 m/s (starts from rest) - a = acceleration = 2 m/s² - t = time = 5 s Substituting: v = 0 + (2)(5) = **10 m/s** Think of it this way: every second, the car gains 2 m/s. After 5 seconds, it's gained 2 × 5 = 10 m/s. ## Why the wrong options tempt you **A) 5 m/s** — You might subtract instead of multiply, or confuse time with velocity. **B) 7 m/s** — This comes from adding a and t (2 + 5), which makes no physical sense — you can't add seconds to m/s²! **D) 25 m/s** — You probably used v = ½at² (which gives *distance*, not velocity) or squared something incorrectly. ## Quick takeaway **Velocity gained = acceleration × time.** If something accelerates at 2 m/s² for 5 seconds, it picks up 2 m/s every second, totaling 10 m/s. Master this, and JAMB can't trick you!
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