Kinematics

⏱ Time: 0s

Q1. 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.

⏱ Time: 0s

Q2. A stone is thrown horizontally from the top of a cliff 45 m high. How long does it take to hit the ground? (Assume g = 10 m/s²)

Solution:

Using h = 0.5 * g * t^2, rearranging gives t = sqrt(2h/g) = sqrt(2 * 45 / 10) = sqrt(9) = 3 s.

⏱ Time: 0s

Q3. A vehicle travels 100 m in 5 seconds. What is its average speed?

Solution:

Average speed = total distance / total time = 100 m / 5 s = 20 m/s.

⏱ Time: 0s

Q4. 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.

⏱ Time: 0s

Q5. A cyclist travels at a speed of 15 m/s for 2 minutes. How far does he travel?

Solution:

Distance = speed * time. Time in seconds = 2 * 60 = 120 s. Distance = 15 m/s * 120 s = 1800 m.

⏱ Time: 0s

Q6. A cyclist travels at a speed of 15 m/s for 2 minutes. How far does the cyclist travel?

Solution:

Distance = speed * time. Time in seconds = 2 minutes = 120 seconds. Distance = 15 m/s * 120 s = 1800 m.

⏱ Time: 0s

Q7. A cyclist travels at a speed of 10 m/s for 5 seconds. What distance does he cover? (2023)

Solution:

Distance = speed * time = 10 m/s * 5 s = 50 m.

⏱ Time: 0s

Q8. A stone is thrown horizontally from a height of 45 m. How long will it take to hit the ground? (Take g = 10 m/s²) (2023)

Solution:

Using h = 0.5 * g * t^2, we have 45 = 0.5 * 10 * t^2. Solving gives t^2 = 9, so t = 3 s.

⏱ Time: 0s

Q9. An object moves with a uniform speed of 10 m/s. How far will it travel in 15 seconds?

Solution:

Distance = speed * time = 10 m/s * 15 s = 150 m.

⏱ Time: 0s

Q10. An object moves with a uniform acceleration of 2 m/s². If it starts from rest, what will be its velocity after 5 seconds?

Solution:

Using the formula: v = u + at, where u = 0, a = 2 m/s², t = 5 s. v = 0 + 2 * 5 = 10 m/s.