Question:
A ball projected vertically upwards with velocity 'v' passes through a point P in its upward journey in a time of 'x' seconds. Then, the time in which the ball again passes through the same point P is
A ball projected vertically upwards with velocity 'v' passes through a point P in its upward journey in a time of 'x' seconds. Then, the time in which the ball again passes through the same point P is
Show Hint
In vertical projectile motion, time to ascend equals time to descend for the same height.
Updated On: Jun 4, 2025
- $\frac{v}{2g}$
- $\frac{2v}{g} - x$
- $\frac{v}{2g} - x$
- $2\left(\frac{v}{g} - x\right)$
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The time to reach point P in upward journey is $x$. The total time to reach maximum height is $\frac{v}{g}$. The ball takes equal time to come down from maximum height to point P. Hence, total time after point P is twice the time from $x$ to $\frac{v}{g}$. So, time taken to pass through point P again is: \[ 2\left(\frac{v}{g} - x\right) \]
Was this answer helpful?
0
0
Top Questions on Projectile motion
- A projectile is launched with an initial velocity of \( 20 \, \text{m/s} \) at an angle of \( 30^\circ \) with the horizontal. What is the maximum height reached by the projectile? (Take \( g = 10 \, \text{m/s}^2 \))
- BITSAT - 2025
- Physics
- Projectile motion
- A projectile is fired at an angle of \( 30^\circ \) with an initial velocity of \( 40 \, \text{m/s} \). What is the range of the projectile? Assume \( g = 9.8 \, \text{m/s}^2 \).
- VITEEE - 2025
- Physics
- Projectile motion
- A block of mass 5 kg is placed on a frictionless incline of angle $30^\circ$. What is the acceleration of the block down the incline? (Take $g = 9.8\, m/s^2$)
- BITSAT - 2025
- Physics
- Projectile motion
- A particle is projected vertically upward with an initial velocity of $ 20 \, m/s $. Calculate the maximum height reached by the particle.
- BITSAT - 2025
- Physics
- Projectile motion
- Two balls with the same mass and initial velocity are projected at different angles in such a way that the maximum height reached by the first ball is 8 times higher than that of the second ball. $ T_1 $ and $ T_2 $ are the total flying times of the first and second ball, respectively, then the ratio of $ T_1 $ and $ T_2 $ is:
- JEE Main - 2025
- Physics
- Projectile motion
View More Questions
Questions Asked in AP EAPCET exam
- If $ r_1 $ and $ r_2 $ are radii of two circles touching all the four circles $$ (x \pm r)^2 + (y \pm r)^2 = r^2, $$ then find the value of $$ \frac{r_1 + r_2}{r}. $$
- The differential equation corresponding to the family of parabolas whose axis is along $x = 1$ is
Identify the correct option from the following:- AP EAPCET - 2025
- Differential Equations
- If an electron in the excited state falls to ground state, a photon of energy 5 eV is emitted, then the wavelength of the photon is nearly
- AP EAPCET - 2025
- Nuclear physics
- The number of ways of dividing 15 persons into 3 groups containing 3, 5 and 7 persons so that two particular persons are not included into the 5 persons group is
- AP EAPCET - 2025
- Binomial theorem
- The domain and range of a real valued function \( f(x) = \cos (x-3) \) are respectively.
- AP EAPCET - 2025
- Functions
View More Questions