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The displacement of a particle, moving in a straight line,is given by s=2t2 2t 4where s is in metres and t in seconds. The acceleration of the particles is A)2m/s2 B)4m/s2 C)6m/s2 D)8m/s2 the Correct option is (B) explain the answer?
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The displacement of a particle, moving in a straight line,is given by ...
Ur displacement equation is S=2t^2 + 2t to find the Accleration do the double Diffrentation then u will get ( v = 4t +2 and a= 4 ) .. I take + sign but if u take it - then also u get the same answer.
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The displacement of a particle, moving in a straight line,is given by ...
**Given Information:**
- Displacement of a particle is given by the equation s = 2t^2 - 2t + 4, where s is in meters and t is in seconds.
**To find:**
The acceleration of the particle.
**Solution:**
The acceleration of a particle can be found by taking the second derivative of the displacement equation with respect to time (t).
1. First, differentiate the displacement equation with respect to time (t) to find the velocity equation:
s = 2t^2 - 2t + 4
Differentiating both sides of the equation with respect to time (t):
ds/dt = d/dt (2t^2 - 2t + 4)
ds/dt = 4t - 2
The velocity equation is given by:
v = 4t - 2
2. Next, differentiate the velocity equation with respect to time (t) to find the acceleration equation:
v = 4t - 2
Differentiating both sides of the equation with respect to time (t):
dv/dt = d/dt (4t - 2)
dv/dt = 4
The acceleration equation is given by:
a = 4
**Therefore, the acceleration of the particle is 4 m/s^2.**
Option B) 4 m/s^2 is the correct answer.
- Displacement of a particle is given by the equation s = 2t^2 - 2t + 4, where s is in meters and t is in seconds.
**To find:**
The acceleration of the particle.
**Solution:**
The acceleration of a particle can be found by taking the second derivative of the displacement equation with respect to time (t).
1. First, differentiate the displacement equation with respect to time (t) to find the velocity equation:
s = 2t^2 - 2t + 4
Differentiating both sides of the equation with respect to time (t):
ds/dt = d/dt (2t^2 - 2t + 4)
ds/dt = 4t - 2
The velocity equation is given by:
v = 4t - 2
2. Next, differentiate the velocity equation with respect to time (t) to find the acceleration equation:
v = 4t - 2
Differentiating both sides of the equation with respect to time (t):
dv/dt = d/dt (4t - 2)
dv/dt = 4
The acceleration equation is given by:
a = 4
**Therefore, the acceleration of the particle is 4 m/s^2.**
Option B) 4 m/s^2 is the correct answer.
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The displacement of a particle, moving in a straight line,is given by s=2t2 2t 4where s is in metres and t in seconds. The acceleration of the particles is A)2m/s2 B)4m/s2 C)6m/s2 D)8m/s2 the Correct option is (B) explain the answer?
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The displacement of a particle, moving in a straight line,is given by s=2t2 2t 4where s is in metres and t in seconds. The acceleration of the particles is A)2m/s2 B)4m/s2 C)6m/s2 D)8m/s2 the Correct option is (B) explain the answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The displacement of a particle, moving in a straight line,is given by s=2t2 2t 4where s is in metres and t in seconds. The acceleration of the particles is A)2m/s2 B)4m/s2 C)6m/s2 D)8m/s2 the Correct option is (B) explain the answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The displacement of a particle, moving in a straight line,is given by s=2t2 2t 4where s is in metres and t in seconds. The acceleration of the particles is A)2m/s2 B)4m/s2 C)6m/s2 D)8m/s2 the Correct option is (B) explain the answer?.
The displacement of a particle, moving in a straight line,is given by s=2t2 2t 4where s is in metres and t in seconds. The acceleration of the particles is A)2m/s2 B)4m/s2 C)6m/s2 D)8m/s2 the Correct option is (B) explain the answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The displacement of a particle, moving in a straight line,is given by s=2t2 2t 4where s is in metres and t in seconds. The acceleration of the particles is A)2m/s2 B)4m/s2 C)6m/s2 D)8m/s2 the Correct option is (B) explain the answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The displacement of a particle, moving in a straight line,is given by s=2t2 2t 4where s is in metres and t in seconds. The acceleration of the particles is A)2m/s2 B)4m/s2 C)6m/s2 D)8m/s2 the Correct option is (B) explain the answer?.
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