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Question:
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Consider the following statements:
1.$\frac{\mathrm{dy}}{\mathrm{dx}}$ at a point on the curve given slope of the tangent
at that point.
2.If a(t) denotes acceleration of a particle, then $\int \mathrm{a}(\mathrm{t}) \mathrm{dt}+\mathrm{c}$ gives velocity of the particle.
3.If $\mathrm{s}(\mathrm{t})$ gives displacement of a particle at time $\mathrm{t}$, then
$\frac{\mathrm{ds}}{\mathrm{dt}}$ gives its acceleration at that instant. Which of the above statements is/are correct?
Options:
1.$\frac{\mathrm{dy}}{\mathrm{dx}}$ at a point on the curve given slope of the tangent
at that point.
2.If a(t) denotes acceleration of a particle, then $\int \mathrm{a}(\mathrm{t}) \mathrm{dt}+\mathrm{c}$ gives velocity of the particle.
3.If $\mathrm{s}(\mathrm{t})$ gives displacement of a particle at time $\mathrm{t}$, then
$\frac{\mathrm{ds}}{\mathrm{dt}}$ gives its acceleration at that instant. Which of the above statements is/are correct?
Solution:
1975 Upvotes
Verified Answer
The correct answer is:
1 and 2 only
Statements (1), (2) are correct.
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