Question:
When the angle of projection is $75^\circ$ a ball falls 10 m short of the. target When the angle of projection is $45^\circ$ another balls falls 10 m , a head of target If both an projected from the same point with the same speed then maximum height reached in the second case is.
When the angle of projection is $75^\circ$ a ball falls 10 m short of the. target When the angle of projection is $45^\circ$ another balls falls 10 m , a head of target If both an projected from the same point with the same speed then maximum height reached in the second case is.
Updated On: Jul 7, 2022
- 5m
- 10 m
- 15 m
- 30 m
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
R = $\frac{u^2 \, \sin \, 2\theta}{g}$, H = $\frac{u^2}{\, \sin^2 \, \theta}{2g}$
Was this answer helpful?
0
0
Top Questions on Motion in a plane
- A ball is thrown vertically upwards with an initial velocity of $ 20 \, \text{m/s} $. How high will the ball rise? (Take $ g = 10 \, \text{m/s}^2 $)
- MHT CET - 2025
- Physics
- Motion in a plane
- If the position of the particle as a function of time \( t \) is \( \vec{r} = 8t \hat{i} + 3t^2 \hat{j} + 3 \hat{k} \, \text{m} \), then the acceleration of the particle is (in \( \text{m/s}^2 \))
- KEAM - 2025
- Physics
- Motion in a plane
- A person travelling on a straight line moves with a uniform velocity \( v_1 \) for a distance \( x \) and with a uniform velocity \( v_2 \) for the next \( \frac{3x}{2} \) distance. The average velocity in this motion is \( \frac{50}{7} \, \text{m/s} \). If \( v_1 \) is 5 m/s, then \( v_2 \) is ___ m/s.
- JEE Main - 2025
- Physics
- Motion in a plane
- A cannon placed on a cliff at a height of 375 m fires a cannonball with a velocity of 100 m/s\(^{-1}\) at an angle of 30° above the horizontal. The horizontal distance between the cannon and the target is:
(Acceleration due to gravity \( g = 10 \) ms\(^{-2}\))- TS EAMCET - 2024
- Physics
- Motion in a plane
- The speed \( v \) of a wave on a string depends on the tension \( F \) in the string and the mass per unit length \( m/L \) of the string. If it is known that [F] = [ML][T]–2, the values of the constants \( a \) and \( b \) in the following equation for the speed of a wave on a string are: \[ v = (\text{constant}) F^a \left( \frac{m}{L} \right)^b \]
- OJEE - 2024
- Physics
- Motion in a plane
View More Questions
Notes on Motion in a plane
Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration