Kinematics

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Q1. A runner completes a 400 m lap in 50 seconds. What is the runner's average velocity?

Solution:

Average velocity = total displacement / total time. Since the runner returns to the starting point, displacement = 0. Average velocity = 0 m/s.

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Q2. A ball is thrown upwards with a speed of 20 m/s. How long will it take to reach the maximum height? (Take g = 10 m/s²) (2023)

Solution:

Time to reach maximum height = initial velocity / g = 20 / 10 = 2 s.

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Q3. A stone is thrown horizontally from the top of a cliff 80 m high. How long does it take to hit the ground? (g = 10 m/s²)

Solution:

Using the formula: h = 0.5 * g * t^2. Rearranging gives t = sqrt(2h/g) = sqrt(2 * 80 / 10) = sqrt(16) = 4 s.

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Q4. A train moving at 72 km/h applies brakes and comes to a stop in 5 seconds. What is the deceleration? (2023)

Solution:

First convert speed to m/s: 72 km/h = 20 m/s. Deceleration = (final velocity - initial velocity) / time = (0 - 20) / 5 = -4 m/s².

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Q5. A ball is thrown vertically upwards with a speed of 15 m/s. How high will it rise before coming to a stop? (2023)

Solution:

Using the formula: height = (initial velocity^2) / (2 * g), where g = 9.8 m/s². Height = (15^2) / (2 * 9.8) = 11.25 m.

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Q6. An object moves with a uniform speed of 20 m/s. How far will it travel in 15 seconds?

Solution:

Distance = speed * time = 20 m/s * 15 s = 300 m.

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Q7. A vehicle travels with a uniform speed of 60 km/h. How far will it travel in 2 hours? (2023)

Solution:

Distance = speed * time = 60 km/h * 2 h = 120 km.

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Q8. A train moving at 72 km/h applies brakes and comes to a stop in 5 seconds. What is the acceleration of the train?

Solution:

First convert speed to m/s: 72 km/h = 20 m/s. Using the formula: acceleration = (final velocity - initial velocity) / time = (0 - 20) / 5 = -4 m/s².

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Q9. A stone is thrown horizontally from the top of a cliff 45 m high. How long will it take to hit the ground? (Assume g = 10 m/s²)

Solution:

Using the formula: h = 0.5 * g * t^2. Rearranging gives t = sqrt(2h/g) = sqrt(2 * 45 / 10) = sqrt(9) = 3 s.

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Q10. A runner completes a 400 m lap in 50 seconds. What is his average velocity?

Solution:

Average velocity = total distance / total time = 400 m / 50 s = 8 m/s.