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Questions and Answers
An iron ball and a wooden ball of the same radius are released from a height H in a vacuum. Which statement is correct about the times taken for them to reach the ground?
An iron ball and a wooden ball of the same radius are released from a height H in a vacuum. Which statement is correct about the times taken for them to reach the ground?
- The times will be in the inverse ratio of their diameters.
- The wooden ball will reach the ground first.
- They will reach the ground at the same time. (correct)
- The iron ball will reach the ground first.
A stone is dropped from a bridge and takes 2 seconds to reach the water. Given that g = 9.8 m/s², what is the height of the bridge above the water?
A stone is dropped from a bridge and takes 2 seconds to reach the water. Given that g = 9.8 m/s², what is the height of the bridge above the water?
- 19.6 m (correct)
- 4.9 m
- 21.4 m
- 9.8 m
An object is dropped. What is its velocity after 5 seconds, assuming the acceleration due to gravity is 10 m/s²?
An object is dropped. What is its velocity after 5 seconds, assuming the acceleration due to gravity is 10 m/s²?
50 m/s
The time it takes for an object to fall a certain distance is directly proportional to the square of the distance.
The time it takes for an object to fall a certain distance is directly proportional to the square of the distance.
If an object is dropped from a height of 80 meters, the time of flight is ______ seconds, given that g = 10 m/s².
If an object is dropped from a height of 80 meters, the time of flight is ______ seconds, given that g = 10 m/s².
A body is projected vertically upwards with a velocity u and returns to the starting point in 4 seconds. Assuming g = 10 m/s², the value of u is:
A body is projected vertically upwards with a velocity u and returns to the starting point in 4 seconds. Assuming g = 10 m/s², the value of u is:
A stone is dropped from the top of a tower. Its speed after it has fallen 20 m is [Take g = 10 ms⁻²]
A stone is dropped from the top of a tower. Its speed after it has fallen 20 m is [Take g = 10 ms⁻²]
Match the following scenarios with the correct time to hit the ground when dropped from the given height:
Match the following scenarios with the correct time to hit the ground when dropped from the given height:
Flashcards
Free Fall in a Vacuum
Free Fall in a Vacuum
The time taken for an object to fall from a height is independent of its mass in a vacuum. This is because acceleration due to gravity is constant for all objects, regardless of their mass.
Calculating Bridge Height
Calculating Bridge Height
The height of a bridge can be calculated using the time it takes for an object to fall from the bridge to the water below. The formula for the distance fallen is: distance = 1/2 * g * t^2, where g is the acceleration due to gravity (9.8 m/s²) and t is the time taken.
Velocity after Falling a Distance
Velocity after Falling a Distance
The velocity of a freely falling object after falling a certain distance is directly proportional to the square root of the distance fallen. This is because the object's velocity increases linearly with time, and the distance fallen is proportional to the square of time.
Free Fall Velocity
Free Fall Velocity
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Time to Fall Half the Distance
Time to Fall Half the Distance
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Time of Flight for Vertical Projectile
Time of Flight for Vertical Projectile
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Displacement in nth Second
Displacement in nth Second
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Final Velocity of Dropped Object
Final Velocity of Dropped Object
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Study Notes
Motion in a Straight Line
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Q1: Iron and wooden balls of same radius, dropped from same height in vacuum, reach the ground in equal time.
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Q2: A stone dropped from a bridge takes 2 seconds to hit the water. The height of the bridge is 19.6 meters (using g = 9.8 m/s²).
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Q3: A stone dropped from a tower, after falling 20 meters, has a speed of 20 m/s (using g = 10 m/s²).
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Q4: The ratio of times taken by two bodies of different masses to fall through different distances depends on the distances (a and b). It's equal to √a/√b.
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Q5: The time taken to cover the first half of a falling body's height is calculated by √((time to cover the full height)/2).
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Q6: A body projected upward with a velocity 'u', returning to the starting point after 4 seconds (with g = 10 m/s²) means initial velocity was 20 m/s.
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Q7: An object dropped takes 5 seconds to reach a certain velocity which is 50 m/s.
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Q8: The displacement of a dropped object in the 4th second is 28 meters.
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Q9: If an object is dropped from a height of 80 meters, its time of flight is 4 seconds.
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Q10: The second drop is 3.75m above the ground while the first drop hits the ground.
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Q11: A body falling from a tower takes the last 2 seconds to fall 40 meters. The height of the tower is accordingly 80 meters.
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Q12: A boy drops a stone from a 20-meter tower. The velocity of the stone hitting the ground is 20 m/s (using g =10 m/s²).
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Q13: A ball is dropped and another thrown. They both drop from the same platform. The time is 6 seconds.
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