Particle Motion in Two Dimensions
Explore the principles of projectile motion, vector components, and kinematics in two dimensions with this Grade 12 physics worksheet.
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Particle Motion in Two Dimensions
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Read each question carefully and provide detailed answers. Show all your work for calculations.
1. Which of the following statements is true about projectile motion?
The horizontal velocity changes due to gravity.
The vertical velocity remains constant.
The acceleration in the horizontal direction is zero.
The trajectory is a straight line.
2. A projectile is launched at an angle of 30 degrees above the horizontal. At the peak of its trajectory, what is its vertical velocity?
Maximum
Minimum but not zero
Zero
Equal to initial vertical velocity
1. The path followed by a projectile is called its .
2. In projectile motion, the acceleration due to gravity acts only in the direction.
3. The time it takes for a projectile to reach its maximum height is equal to the time it takes to fall back to its initial height, assuming a symmetrical trajectory and negligible .
1. A ball is thrown horizontally from a cliff with an initial velocity of 15 m/s. If the cliff is 45 meters high, calculate the time it takes for the ball to hit the ground. (Ignore air resistance, g = 9.8 m/s²)
2. Explain the difference between scalar and vector quantities, providing an example of each relevant to two-dimensional motion.
1. The horizontal range of a projectile is maximized when launched at an angle of 45 degrees, assuming it lands at the same height it was launched from.
True
False
2. Air resistance has no effect on projectile motion.
True
False
A cannonball is fired from the ground with an initial speed of 50 m/s at an angle of 37 degrees above the horizontal. (g = 9.8 m/s²).
a) Calculate the initial horizontal and vertical components of the velocity.
b) Determine the maximum height reached by the cannonball.
c) Calculate the total time of flight.
d) Find the horizontal range of the cannonball.