Physics Velocity and Motion Quiz

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Questions and Answers

What is the instantaneous velocity of the car at 12 seconds?

50 m/s

8.3 m/s

21 m/s (correct)

40 m/s

What mistake did the student make when calculating the velocity at 12 seconds?

Misread the graph at 12 seconds

Correctly identified displacement value

Applied the correct time value

Used average velocity instead of instantaneous (correct)

How should the velocity at 6 seconds be accurately calculated?

By substituting values directly from the graph

Using the slope of the tangent at that point (correct)

Calculating total distance covered

By averaging the velocities before and after

If the displacement of the car is 250 m at 12 seconds, what is the correct calculation for its instantaneous velocity?

250 m/10 s Signup and view all the answers

What physical concept is represented by the gradient of the graph?

Instantaneous velocity Signup and view all the answers

At what time is the velocity measured as 8.3 m/s?

6 seconds Signup and view all the answers

What could cause the calculated instantaneous velocities at the given times to differ from the average velocity?

Changes in speed over time Signup and view all the answers

What is the primary purpose of drawing a tangent at a point on a curve in a velocity-time graph?

To find instantaneous velocity Signup and view all the answers

What is the final speed of the object after 20 seconds of free fall?

200 m/s Signup and view all the answers

What happens to the rocket when the fuel runs out?

It starts to descend under the influence of gravity. Signup and view all the answers

What is the maximum height reached by the rocket after the fuel runs out?

2040 m Signup and view all the answers

How is the height measured in this context?

From the bottom of the ball-bearing. Signup and view all the answers

What is the role of the electronic timer in the experiment?

To stop when the current to the electromagnet is cut off. Signup and view all the answers

What is the effect of air resistance on the calculations in this scenario?

It is neglected for simplicity. Signup and view all the answers

What would the height be if the acceleration due to gravity were less than $9.8 ext{ m/s}^2$?

It would decrease. Signup and view all the answers

What is the time taken for the ball thrown horizontally from the cliff to reach the sea?

2.02 s Signup and view all the answers

How far from the base of the cliff does the ball land horizontally?

14.9 m Signup and view all the answers

What is the magnitude of the ball's velocity as it reaches the sea?

15 ms-1 Signup and view all the answers

At what angle does the ball strike the sea relative to the horizontal?

7.6o below horizontal Signup and view all the answers

What is the time taken for the ball thrown at an angle of 45° to reach its highest point?

3.2 s Signup and view all the answers

What is the horizontal distance covered by the ball when it is thrown at 28.2 ms-1 and reaches the tree?

30 m Signup and view all the answers

What is the height of the tree that the ball just passes over?

7 m Signup and view all the answers

What would be the effect on the time taken to reach the sea if the height of the cliff were doubled?

It would increase by a factor of $√2$ Signup and view all the answers

What is the time it takes for a projectile to reach its highest point if the initial vertical velocity is 23 m/s?

3.4 seconds Signup and view all the answers

What is the formula used to calculate the horizontal distance traveled by a projectile?

s = ut Signup and view all the answers

Which of the following statements is true about the vertical motion of a projectile at its peak?

The vertical velocity is zero. Signup and view all the answers

For a projectile launched at an angle, what is true about the vertical and horizontal components of motion?

Horizontal motion is constant while vertical is affected by gravity. Signup and view all the answers

What is the value of the vertical displacement achieved by the projectile when it reaches its peak?

0 m Signup and view all the answers

If a projectile is thrown horizontally from a height, which graph would best represent its vertical displacement over time?

A parabolic curve opening downward Signup and view all the answers

Given a launch speed of 20 m/s at an angle of 10 degrees, what component of the initial velocity is responsible for vertical motion?

20sin10° Signup and view all the answers

Which equation relates the final velocity, initial velocity, acceleration, and displacement?

v² = u² + 2as Signup and view all the answers

What is the time taken for the dart to fall 0.30 m?

0.247 s Signup and view all the answers

What is the horizontal speed of the dart as it travels 3.0 m in 0.247 s?

12.1 m/s Signup and view all the answers

Which formula is used to determine the vertical velocity of the dart at the time of impact?

$v = g t$ Signup and view all the answers

What is the vertical velocity of the dart just before it hits the board?

-2.42 m/s Signup and view all the answers

How is the resultant velocity of the dart calculated at the moment of impact?

Using the identity $v_{resultant} = \sqrt{v_{horizontal}^2 + v_{vertical}^2}$ Signup and view all the answers

What is the magnitude of the resultant velocity when the dart hits the board?

12.34 m/s Signup and view all the answers

When launched horizontally, how does the vertical motion of a dart compare to its horizontal motion?

Both motions are independent of each other Signup and view all the answers

If the question requests a velocity without specifying direction, what does it imply?

Give only the magnitude of the resultant velocity Signup and view all the answers

What is the time it takes for an object to hit the ground when it is dropped from a height of 1.8 meters?

0.61 seconds Signup and view all the answers

If a ball is thrown horizontally with a speed of 850 ms$^{-1}$, how far will it travel in 0.606 seconds?

580 meters Signup and view all the answers

What is the acceleration due to gravity acting on an object in free fall?

9.8 ms$^{-2}$ downward Signup and view all the answers

When an object is launched at an angle to the horizontal, which component does NOT affect its horizontal motion?

Vertical acceleration Signup and view all the answers

What is the result of horizontal motion when an object is thrown without any air resistance?

It travels in a straight line indefinitely Signup and view all the answers

Which equation is used to describe the vertical motion of an object in free fall?

s = -4.9t^2 Signup and view all the answers

What happens to the total speed of an object thrown upwards from a cliff when it reaches its peak?

It is zero Signup and view all the answers

How is the horizontal distance of a projectile affected when the launch angle is increased?

It increases until the optimal angle is reached Signup and view all the answers

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Description

Test your understanding of instantaneous velocity and motion concepts with this quiz. Explore questions about calculating velocities at different time intervals and the physical principles involved in velocity-time graphs. Challenge yourself with real-world scenarios involving motion and free fall.