Physics Motion Problems - Class 10

Question 4 - Freefall

• A stone is dropped from a tower of height h.
• After 1 second, another stone is dropped from a balcony 20 m below the top of the tower.
• Both stones reach the bottom simultaneously.
• The goal is to find the height of the tower h.
• Use the acceleration due to gravity g = 10 m/s².

Question 5 - Motion of a Particle

• A particle starts from rest and travels a distance S with uniform acceleration.
• It then travels a distance 2S with uniform speed.
• Finally, it travels a distance 3S with uniform retardation and comes to rest.
• The particle's motion is in a straight line.
• Determine the ratio of the average velocity to the maximum velocity.

Question 6 - Body Thrown Vertically

• A body is thrown vertically upwards from the top of a tower.
• It reaches the ground in t₁ seconds.
• The same body is thrown vertically downwards from the same point with the same speed.
• This time, it reaches the ground in t₂ seconds.
• Determine the time it takes for the body to reach the ground if it is simply dropped (with zero initial velocity) from the top of the tower.

Question 9 - Ball Thrown Vertically

• A ball is thrown from a height H.
• It hits the floor with a velocity of 10 m/s after 1.5 seconds.
• Find the initial speed of the ball.
• Utilize the information given, the acceleration due to gravity, and relevant kinematic equations to find the initial speed.

Question 10 - Projectile Motion

• In the scenario of the ball thrown from height H, calculate the angle of projection, represented by θ.
• Use the information from the previous question, including the initial speed and time of flight, to determine the angle.
• Utilize trigonometric functions and kinematic equations to calculate the angle.

Question 11 - Height of Projection

• Continuing the scenario of the ball thrown from height H, calculate the value of H.
• Utilize the information from the previous questions, including the initial speed, time of flight, and acceleration due to gravity.
• Apply relevant kinematic equations to solve for the initial height.

Question 12 - Insect on a Belt

• A long horizontal belt moves from left to right with a uniform speed of 2 m/s.
• Two ink marks, A and B, are on the belt, 60 m apart.
• An insect runs on the belt back and forth between the marks.
• The insect's speed relative to the belt is constant at 4 m/s.

Question 13 - Insect Motion on a Belt

• In the scenario of the insect on the belt, where mark A is to the left of mark B, analyze the time taken by the insect to travel from A to B and B to A.
• Consider the insect's relative speed to the belt and the belt's own motion.
• Determine if the time taken for each trip is equal, or if one takes longer than the other.

Question 14 - Time for Insect on Belt

• In the scenario of the insect on the belt, where A lies to the left of B, calculate the time taken by the insect to travel from B to A.
• Use the information about the insect's relative speed, the belt's speed, and the distance between the marks to find the time.

Question 15 - Acceleration in Straight Line Motion

• A particle travels in a straight line.
• The distance it travels is proportional to the square root of the time taken.
• Determine how the particle's acceleration is related to its velocity (denoted by v).
• Analyze proportionality relationships and kinematics to find the relationship between acceleration and velocity.

Question 16 - Distance Travelled

• A particle travels 10 m in the first 5 seconds and 10 m in the next 3 seconds.
• Assuming constant acceleration, calculate the distance covered in the next 2 seconds.
• Use kinematic equations and the information provided about distances and times to solve for the distance travelled in the next 2 seconds.

Question 17 - Balloon and Stone

• A balloon rises from the ground with an acceleration of 1.25 m/s².
• After 8 seconds, a stone is released from the balloon.
• Analyze the motion of the stone after its release, taking into account gravity and the initial upward velocity due to the balloon's motion.
• Determine the stone's displacement, distance covered in reaching the ground, time to reach the ground, and the moment it begins moving downwards.

Question 18 - Average Speed

• A man walks 2.5 km to the market at a speed of 5 km/h.
• He returns home with a speed of 7.5 km/h.
• Calculate the average speed of the man over the entire journey, taking into account the different speeds and distances traveled.

Question 19 - Balls Thrown Vertically

• A man throws balls vertically upwards with the same speed at intervals of 2 seconds.
• Determine the minimum required speed for the man to have more than two balls in the air at any given time.
• Consider the time it takes for a ball to ascend and descend, and the relationship between this time and the throwing interval.
• Use the acceleration due to gravity to analyze the motion of the balls.