Two objects, C and D, accelerate from rest at uniform rates. B accelerates twice as...
PHYSICS
WAEC 2023
Two objects, C and D, accelerate from rest at uniform rates. B accelerates twice as much as Compared to C, D travels
- A. at the same distance as C.
- B. six times as far.
- C. two times as far.
- D. three times as far.
Correct Answer: C. two times as far.
Explanation
Acceleration of C = c
Acceleration of D = 2c (given)
then: \( S_C = 0 \times t + \frac{1}{2}at^2 = \frac{1}{2}at^2\)
\( S_D = 0 \times t + \frac{1}{2} \times2at^2 = at^2\)
\(t^2 = t^2 ⇒ \frac{2S_C}{c} = \frac{S_D}{c}\)
⇒ \(2S_C = S_D\) ( as a cancels out)
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