SATHEE: Kinematics 4 Question 1

Kinematics 4 Question 1

1. A particle starts from origin $O$ from rest and moves with a uniform acceleration along the positive $X$ -axis. Identify all figures that correctly represent the motion qualitatively. ( $a =$ acceleration, $v =$ velocity, $x =$ displacement, $t =$ time)

(2019 Main, 8 April II)

(B)

(a) $(A)$

(b) $(A), (B), (C)$

(d) $(A), (B), (D)$

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Solution:

Since, the particle starts from rest, this means, initial velocity, $u = 0$

Also, it moves with uniform acceleration along positive $X$ -axis. This means, its acceleration $(a)$ is constant.

$∴$ Given, $a - t$ graph in (A) is correct.

As we know, for velocity-time graph, slope $=$ acceleration.

Since, the given $v - t$ graph in (B) represents that its slope is constant and non-zero.

$∴$ Graph in (B) is also correct.

Also, the displacement of such a particle w.r.t. time is given by

$\begin{aligned} x & = u t + \frac{1}{2} a t^{2} \\ = 0 + \frac{1}{2} a t^{2} \Rightarrow x \propto t^{2} \end{aligned}$

So, $x$ versus $t$ graph would be a parabola with starting from origin.

This is correctly represented in displacement-time graph given in (D).

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Kinematics 4 Question 1

1. A particle starts from origin $O$ from rest and moves with a uniform acceleration along the positive $X$ -axis. Identify all figures that correctly represent the motion qualitatively. ( $a =$ acceleration, $v =$ velocity, $x =$ displacement, $t =$ time)

Solution:

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एनसीईआरटी व्यायाम वीडियो समाधान

Kinematics 4 Question 1

1. A particle starts from origin O from rest and moves with a uniform acceleration along the positive X-axis. Identify all figures that correctly represent the motion qualitatively. ( a= acceleration, v= velocity, x= displacement, t= time)

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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1. A particle starts from origin $O$ from rest and moves with a uniform acceleration along the positive $X$ -axis. Identify all figures that correctly represent the motion qualitatively. ( $a =$ acceleration, $v =$ velocity, $x =$ displacement, $t =$ time)