Question:
Which of the following types of motion may be represented by the trajectory,
π¦(π₯)=ππ₯ 2+ππ₯+π ?
(Here a, b, and c are constants; x, y are the position coordinates)
Which of the following types of motion may be represented by the trajectory,
π¦(π₯)=ππ₯ 2+ππ₯+π ?
(Here a, b, and c are constants; x, y are the position coordinates)
π¦(π₯)=ππ₯ 2+ππ₯+π ?
(Here a, b, and c are constants; x, y are the position coordinates)
Updated On: Jan 12, 2025
- Projectile motion in a uniform gravitational field
- Simple harmonic motion
- Uniform circular motion
- Motion on an inclined plane in a uniform gravitational field
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The given equation represents a quadratic function of x, which suggests a parabolic trajectory. This is characteristic of projectile motion under the influence of gravity, where the path traced by an object is parabolic if the acceleration due to gravity is constant and the object is projected with some initial velocity.
Thus, the correct answer is (A) Projectile motion in a uniform gravitational field.
Was this answer helpful?
0
0
Top Questions on Waves and Oscillations
- The displacement of a particle executing simple harmonic motion with time period \(T\) is expressed as \[ x(t)=A\sin\omega t, \] where \(A\) is the amplitude of oscillation. If the maximum value of the potential energy of the oscillator is found at \[ t=\frac{T}{2\beta}, \] then the value of \(\beta\) is ________.
- JEE Main - 2026
- Physics
- Waves and Oscillations
Using a variable frequency ac voltage source the maximum current measured in the given LCR circuit is 50 mA for V = 5 sin (100t) The values of L and R are shown in the figure. The capacitance of the capacitor (C) used is_______ Β΅F.
- JEE Main - 2026
- Physics
- Waves and Oscillations
- A cylindrical block of mass $M$ and area of cross section $A$ is floating in a liquid of density $\rho$ with its axis vertical. When depressed a little and released the block starts oscillating. The period of oscillation is ___.
- JEE Main - 2026
- Physics
- Waves and Oscillations
- Using a simple pendulum experiment $g$ is determined by measuring its time period $T$. Which of the following plots represent the correct relation between the pendulum length $L$ and time period $T$?
- JEE Main - 2026
- Physics
- Waves and Oscillations
- A body of mass 2 kg is moving along x-direction such that its displacement as function of time is given by $x(t) = \alpha t^2 + \beta t + \gamma$ m, where $\alpha = 1$ m/s$^2$, $\beta = 1$ m/s and $\gamma = 1$ m. The work done on the body during the time interval $t = 2$ s to $t = 3$ s, is _________ J.
- JEE Main - 2026
- Physics
- Waves and Oscillations
View More Questions
Questions Asked in IIT JAM exam
- Consider a volume V enclosed by a closed surface S having unit surface normal \(\hat{n}\). For \(\mathbf{r} = x\hat{i} + y\hat{j} + z\hat{k}\), the value of the surface integral \(\frac{1}{9} \oint_{S} \mathbf{r} \cdot \hat{n} \,dS\) is
- IIT JAM PH - 2025
- Vector Calculus
- For a Zener diode as shown in the circuit diagram below, the Zener voltage \(V_Z\) is 3.7 V. For a load resistance (\(R_L\)) of 1 k\(\Omega\), a current \(I_1\) flows through the load. If \(R_L\) is decreased to 500 \(\Omega\), the current changes to \(I_2\). The ratio \(\frac{I_2}{I_1}\) is \rule{1cm{0.15mm}. (up to two decimal places)}
- IIT JAM PH - 2025
- Analog Electronics
- The shortest distance between an object and its real image formed by a thin convex lens of focal length 20 cm is _____ cm. (in integer)
- If \(\left(\frac{1-i}{1+i}\right)^{n/2} = -1\), where \(i = \sqrt{-1}\), one possible value of n is
- IIT JAM PH - 2025
- Complex numbers
- In a two-level atomic system, the excited state is 0.2 eV above the ground state. Considering the Maxwell-Boltzmann distribution, the temperature at which 2% of the atoms will be in the excited state is _____ K. (up to two decimal places)
(Boltzmann constant \(k_B = 8.62 \times 10^{-5}\) eV/K)
- IIT JAM PH - 2025
- Mechanics
View More Questions