In this article, we are giving some important questions of Projectile motion topic from IGCSE Grade 11 Physics. Like all topics from Newton Physics, projectile motion is a very conceptual topic, i.e. if you understand the concepts fully then you can answer any question from the topic.

**IGCSE Standard 11 Projectile Motion Sheet**

**In all the given problems, air resistance has been ignored**

- A bullet is aimed at a target 30 m away. The bullet hits the target 1.9 cm below the aiming point.

- What is the bullet’s time of flight?
- At what speed does the bullet emerge from the rifle?

- A small ball rolls horizontally off the edge of a tabletop that is 1.20 m high. It strikes the floor at a point 1.52 m horizontally away from the edge of the table.

- How long is the ball in the air?
- What is its speed at the instant that it leaves the table?

3. A baseball leaves a pitcher’s hand horizontally at a speed of 161 km/h. The distance to the batter is 18.3 m.

- How long does the ball take to travel the first half of the distance?
- How long does it take to travel the second half?
- How far does the ball fall freely during the first half?
- During the second half?
- Why aren’t the quantities in (c) and (d) above equal?

- A dart is thrown horizontally with an initial speed of 10 m/s towards a point P, the bull’s eye on the dart board. It hits at point Q on the rim, vertically below P, 0.19 seconds later.

- What is the distance PQ?
- How far away from the dart board is the dart released?

- An electron, with an initial horizontal velocity of magnitude 1 x 10
^{9}cm/s, travels into a region between two horizontal metal plates that are electrically charged. In that region, it travels a horizontal distance of 2 cm and has a constant downward acceleration of magnitude 1 x 10^{17}cm/s^{2}due to the charged plates.

- Find the time required by the electron to travel the 2 cm.
- Find the vertical distance that it travels in this time.

As the electron emerges from this region, find

- the magnitude of the electron’s horizontal velocity component
- the magnitude of the electron’s vertical velocity component

- In the 1991 World Track and Field Championships in Tokyo, Mike Powell jumped 8.95 m in the long jump, breaking the 23-year record set by Bob Beamon by a full 5 cm. Assume that Powell’s speed on take-off was 9.5 m/s (about equal to that of a sprinter) and that g = 9.80 m/s
^{2}in Tokyo. How much less was Powell’s horizontal range than the maximum possible horizontal range (neglecting the effects of air) for a particle launched at the same speed of 9.5 m/s?

7. A stone is catapulted at time t = 0, with an initial velocity of magnitude 20 m/s and at an angle of 40° above the horizontal. (‘a) Find the magnitudes of the horizontal and vertical components of the of its displacement from the catapult site at t = 1.10 s (b) Find the magnitudes of the horizontal and vertical components of the of its displacement from the catapult site at t = 1.80 s (c) Find the magnitudes of the horizontal and vertical components of the of its displacement from the catapult site at t = 5.00 s

8. A rifle that shoots bullets at 460 m/s is to be aimed at a target 45.7 m away and level with the rifle. How high above the target should the rifle barrel be pointed so that the bullet hits the target?

9. You throw a ball toward a wall with a speed of 25 m/s and at an angle of 40° above the horizontal. The wall is 22 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? (b) What are the horizontal and vertical components of the ball’s velocity when it hits the wall? (c) When it hits, has it passed the highest point on its trajectory?

10. A ball is shot from the ground into the air. At a height of 9.1 m, its velocity is observed to be

in metres per second. (a) To what maximum height does the ball rise? (b) What total horizontal distance does the ball travel? (c) What are the magnitude and direction of the ball’s velocity just before it hits the ground?

11. Two seconds after being projected from ground level, a projectile is displaced 40 m horizontally and 53 m vertically above its point of projection. (a) What are the horizontal and vertical components of the initial velocity of the projectile? (b) At the instant the projectile achieves its maximum height above ground level, how far is it displaced horizontally from the point of projection?

12. A football player punts the football so that it will have a “hang time” (time of flight) of 4.5 s and land 46 m away. If the ball leaves the player’s foot 150 cm above the ground, what must be (a) the magnitude, and (b) the direction of the ball’s initial velocity?

13. A lowly high diver pushes off horizontally with a speed of 2 m/s from the edge of a platform that is 10 m above the surface of the water.

- At what horizontal distance from the edge of the platform is the diver 0.8 seconds after pushing off?
- At what vertical distance above the surface of water is the diver just then?
- At what horizontal distance from the edge of the platform does the diver strike the water?

14. A soccer player kicks the ball towards a goal that is 29 m in front of him. The ball leaves his foot at a speed of 19 m/s and an angle of 32° above the ground. Find the speed of the ball when the goalie catches it in front of the net.

15. A diver springs upward from a board that is 3 m above the water. At the instant she contacts the water her speed is 8.90 m/s and her body makes an angle of 75° with respect to the horizontal surface of the water. Determine her initial velocity, both in magnitude and direction. Give the initial velocity in unit vector notation.

16. An Olympic long jumper leaves the ground at an angle of 23^{°} and travels through the air for a horizontal distance of 8.7 m before landing. What is the take-off speed of the jumper?

17. After leaving the end of a ski ramp, a ski jumper lands downhill at a point that is displaced 55 m horizontally from the end of the ramp. Her velocity, just before landing, is 25 m/s and points in a direction 38^{°} below the horizontal. Neglecting air resistance and any lift she experiences while airborne, find her initial velocity (both in magnitude and direction) when she left the end of the ramp. Express it in unit vector notation.

18. Stones are thrown horizontally with the same velocity from the tops of two different buildings. One stone lands twice as far from the base of the building from which it was thrown as does the other stone. Find the ratio of the height of the taller building to the height of the shorter

19. Water from a garden hose that is pointed 25° above the horizontal lands directly on a sunbather lying on the ground 4.4 m away in the horizontal If the hose is held 1.4 m above the ground, at what speed does the water leave the nozzle?

20. Find the difference between the X-components of the launch velocities.The launching speed of a certain projectile is five times the speed it has at its maximum height. Calculate the elevation angle at launching.

21. A ball rolls horizontally off the top of a stairway with a speed of 1.52 m/s. The steps are 20.3 cm high and 20.3 cm wide. Which step does the ball hit first?

22. A soccer ball is kicked from the ground with an initial speed of 19.5 m/s at an upward angle of 45^{°}. A player 55 m away in the direction of the kick starts running to meet the ball at that instant. What must be his average speed if he is to meet the ball just before it hits the ground?

23. Two stones are thrown from a cliff. They have identical initial speeds of 13 m/s and are thrown at an angle of 30 degrees, one below the horizontal, and the other above the horizontal. What is the distance between the points where the stones strike the ground?

24. A cliff has a height of 12 m. From the top of this cliff stone A is thrown upward at an angle (less than 90^{°}). It rises on its trajectory and eventually hits the ground below. At the same instant that stone A is thrown, stone B is thrown upward at an angle (less than 90^{°}) from the base of the cliff, directly below stone A. Stone B rises on it trajectory and eventually returns to the same level from which it was launched. The launch angles and the speeds of the stones are different, but 3 seconds after launch, they both strike the ground at the same place.

- Find the difference between the Y-components of the launch velocities.

25. You are travelling in a convertible with the top down. The car is moving at a constant velocity of 25 m/s, due east along flat ground. You throw a tomato straight upward at a speed of 11 m/s. How far has the car moved when you get a chance to catch the tomato?

26. A certain airplane has a speed of 290 km/h and is diving at an angle of 30^{°} below the horizontal when the pilot releases a radar decoy (see Fig 1 below). The horizontal distance between the release point and the point where the decoy hits the ground is 700 m.

(a) How long is the decoy in the air?

(b) How high is the release point?

These questions are provided to Vagupu by Mr. CN Muralinath. Mr. Muralinath is an IIT Alumnus and best tutor for IGCSE Physics and Math. If you want answers of these questions or clarification on any other concept related to IGCSE Physics and Math, feel free to contact him. To contact Mr. Muralinath, **click here**

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