Question:
For a \(1-D\) motion, relation between position x and time \(t\) is \(t = αx^2 + βx\) Find the relation between velocity \(v\) and acceleration \(a\).
For a \(1-D\) motion, relation between position x and time \(t\) is \(t = αx^2 + βx\) Find the relation between velocity \(v\) and acceleration \(a\).
Updated On: Apr 4, 2024
- \(a = αv\)
- \(a = - 2αv\)
- \(a = - 2αv^3\)
- \(a = 2αv^2\)
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The Correct Option is (C): \(a = - 2αv^3\)
Was this answer helpful?
0
0
Top Questions on speed and velocity
- A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is v in the direction shown, which one of the following options is correct (P and Q are any highest and lowest points on the wheel, respectively) ?
- NEET (UG) - 2024
- Physics
- speed and velocity
- The velocity (v) - time (t) plot of the motion of a body is shown below :
The acceleration (a) - time(t) graph that best suits this motion is :- NEET (UG) - 2024
- Physics
- speed and velocity
A body of mass 1000 kg is moving horizontally with a velocity of 6 m/s. If 200 kg extra mass is added, the final velocity (in m/s) is:
- JEE Main - 2024
- Physics
- speed and velocity
Consider a series of steps as shown. A ball is thrown from 0. Find the minimum speed to directly jump to 5th step
- JEE Main - 2024
- Physics
- speed and velocity
- A ball is released from a height of \(1\) \(m\) on a fixed smooth hemispherical surface as shown. Find its velocity when it is at a height of \(0.5\) \(m\) from ground. (take \(g\) = \(10\;m / s^2\))
- JEE Main - 2024
- Physics
- speed and velocity
View More Questions
Questions Asked in JEE Main exam
- The molecular formula of second homologue in the homologous series of monocarboxylic acid is
- JEE Main - 2024
- Aldehydes, Ketones and Carboxylic Acids
- Given below are two statements: Statement I: $\text{PF}_5$ and $\text{BrF}_5$ both exhibit $\text{sp}^3\text{d}$ hybridisation.Statement II: Both $\text{SF}_6$ and $[\text{Co}(\text{NH}_3)_6]^{3+}$ exhibit $\text{sp}^3\text{d}^2$ hybridisation. In the light of the above statements,choose the correct answer from the options given below:
- JEE Main - 2024
- Hybridisation
- Consider the system of linear equations \( x + y + z = 4\mu \), \( x + 2y + 2\lambda z = 10\mu \), \( x + 3y + 4\lambda^2 z = \mu^2 + 15 \), where \( \lambda, \mu \in \mathbb{R} \). Which one of the following statements is NOT correct?
- JEE Main - 2024
- Linear Algebra
- If the constant term in the expansion of \((1 + 2x - 3x^3) \left(\frac{3}{2}x^2 - \frac{1}{3x}\right)^9\) is \( p \), then \( 108p \) is equal to _________.
- JEE Main - 2024
- Algebra
- In an examination of Mathematics paper, there are 20 questions of equal marks and the question paper is divided into three sections : A, B and C . A student is required to attempt total 15 questions taking at least 4 questions from each section. If section A has 8 questions, section B has 6 questions and section C has 6 questions, then the total number of ways a student can select 15 questions is _______ .
- JEE Main - 2024
- permutations and combinations
View More Questions
Concepts Used:
Speed and Velocity
The rate at which an object covers a certain distance is commonly known as speed.
The rate at which an object changes position in a certain direction is called velocity.
Difference Between Speed and Velocity:
Read More: Difference Between Speed and Velocity