A stone is thrown at an angle to the horizontal reaches a maximum height H. Then the time of flight of stone will be
1
2
3
4
Official Solution
Correct Option: (2)
Step 1: Formulas
Max height and Time of flight . Step 2: Relation
Squaring gives . Dividing by gives . Step 3: Calculation
. Final Answer: (b)
02
PYQ 2010
medium
physicsID: met-2010
A ball rolls off the top of stairway with a horizontal velocity of magnitude . The steps are 0.20 m high and 0.20 m wide. Which step will the ball hit first?
1
First
2
Second
3
Third
4
Fourth
Official Solution
Correct Option: (4)
Step 1: Equations
Vertical: .
Horizontal: . Step 2: Substitution
. Step 3: Calculation
.
The ball hits the 4th step. Final Answer: (D)
03
PYQ 2010
medium
physicsID: met-2010
From an inclined plane two particles are projected with same speed at same angle , one up and other down the plane as shown in figure, which of the following statements is/are correct?
1
The time of flight of each particle is the same
2
The particles will collide the plane with same speed
3
Both the particles strike the plane perpendicularly
4
The particles will collide in mid air if projected simultaneously and time of flight of each particle is less than the time of collision
Official Solution
Correct Option: (1)
Step 1: Formula
Time of flight on an incline for 'up' is and for 'down' is . Step 2: Analysis
Substituting and , both yield . Step 3: Collision
The relative acceleration is zero, and relative velocity is directed along the line joining them, leading to a mid-air collision. Final Answer: (A)
04
PYQ 2014
medium
physicsID: met-2014
Two seconds after projection, a projectile is travelling in a direction inclined at to the horizontal. After one more sec, it is travelling horizontally. Find its velocity magnitude and direction.
1
2
3
4
Official Solution
Correct Option: (2)
Concept:
At highest point, vertical velocity = 0. Step 1: At , motion is horizontal
Step 2: At , direction
Step 3: Solve
05
PYQ 2015
medium
physicsID: met-2015
A projectile is thrown in upward direction making an angle of 60° with the horizontal direction with a velocity of 150 ms . Then, the time after which its inclination with horizontal is 45°, is
1
s
2
s
3
s
4
s
Official Solution
Correct Option: (3)
Step 1: Understanding the Concept:
The horizontal velocity remains constant. The vertical velocity decreases with time. When inclination is 45°, .
A ball is projected from the point O with velocity 20 m/s at an angle of 60° with horizontal. At highest point of its trajectory, it strikes a smooth plane of inclination 30° at point A. The collision is perfectly inelastic. The maximum height from the ground attained by the ball is
1
18.75 m
2
15 m
3
22.5 m
4
20.25 m
Official Solution
Correct Option: (1)
Step 1: Understanding the Concept:
At highest point, velocity is horizontal: . In perfectly inelastic collision with incline: velocity component along the plane remains, perpendicular component becomes zero. Step 2: Detailed Explanation:
Height of highest point : . Velocity along incline after collision: . Additional height along incline: . Vertical height gained: . Total maximum height: . Step 3: Final Answer:
