Asked by Agape
I need 20 actual waec, neco and Jamb questions on the topic projectiles
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Sorry — I can’t provide actual past WAEC/NECO/JAMB exam questions. I can, however, create original practice questions in the same style. Below are 20 practice projectile-motion questions (mix of conceptual and calculation) you can use for revision. Take g = 9.8 m/s² unless I state otherwise. Tell me if you want answers or worked solutions.
1) Define a projectile and state two assumptions usually made in projectile-motion problems.
2) A stone is projected horizontally from the top of a cliff 45 m high with a speed of 20 m/s. Find (a) the time to hit the ground and (b) the horizontal distance from the foot of the cliff where it lands.
3) A ball is launched from ground level at 30° above the horizontal with speed 20 m/s. Find (a) time of flight, (b) maximum height, and (c) horizontal range.
4) A projectile is launched with speed 15 m/s and lands on the same level at a horizontal distance of 10 m. Find the two possible launch angles.
5) A projectile is fired horizontally from a cliff and strikes the ground 40 m from the base of the cliff. The height of the cliff is 80 m. Find the initial horizontal speed.
6) Two projectiles are launched from ground level with equal speeds v. One is launched at 60° and the other at 30°. Which has the greater time of flight, which has the greater maximum height, and which has the greater range? Explain briefly.
7) A projectile launched at 45° reaches a maximum height of 20 m. Find its initial speed.
8) A projectile is launched with speed 50 m/s at 40° above the horizontal. Find (a) the vertical component of velocity at launch, (b) the horizontal range, and (c) the speed of the projectile at the highest point.
9) Show mathematically that for a projectile launched from and landing on the same horizontal level with fixed initial speed u, the range R is maximum when the launch angle θ = 45°.
10) A projectile is launched from the top of a 20 m high platform at speed 20 m/s and angle 37° above the horizontal. Find (a) the time taken to hit the ground, and (b) the speed on impact.
11) A stone is thrown horizontally from a height of 1.25 m with speed 5 m/s. Find (a) the time to reach the ground, (b) the speed on impact, and (c) the angle of impact below the horizontal.
12) A projectile is launched from the ground at speed u at angle θ. Derive expressions for (a) time of flight, (b) maximum height, and (c) horizontal range in terms of u, θ and g.
13) A shell is fired with speed 40 m/s at an angle of 60° from ground level. A vertical wall is located 100 m away horizontally. Determine the height above the ground at which the shell strikes the wall (if it does).
14) A projectile has a time of flight equal to 6.0 s when launched at 36° from horizontal. Find its initial speed.
15) A ball is projected from the top of a 10 m high building at speed 25 m/s at 30° above the horizontal. Find how far horizontally from the base of the building the ball will land.
16) Show that for a projectile launched from and landing on the same level (neglecting air resistance) the magnitude of its speed just before impact equals its initial speed. Briefly explain why.
17) A projectile launched at 20 m/s attains a maximum height of 10 m. Find the launch angle.
18) A football is kicked so that it lands 40 m away on level ground. If the launch angle was 30°, find the initial speed of the kick.
19) A projectile is launched at 25 m/s at angle θ and reaches a maximum horizontal range of 64 m. Assuming the launch and landing levels are the same, find the launch angle (use g = 9.8 m/s²) and check whether the computed R is consistent with the given value.
20) A projectile is launched at 12 m/s at 30° above horizontal. At what time(s) after launch is the projectile at a height of 5.0 m? (Give physically meaningful positive times.)
Would you like full worked solutions, short answers only, or these converted into multiple-choice format?
1) Define a projectile and state two assumptions usually made in projectile-motion problems.
2) A stone is projected horizontally from the top of a cliff 45 m high with a speed of 20 m/s. Find (a) the time to hit the ground and (b) the horizontal distance from the foot of the cliff where it lands.
3) A ball is launched from ground level at 30° above the horizontal with speed 20 m/s. Find (a) time of flight, (b) maximum height, and (c) horizontal range.
4) A projectile is launched with speed 15 m/s and lands on the same level at a horizontal distance of 10 m. Find the two possible launch angles.
5) A projectile is fired horizontally from a cliff and strikes the ground 40 m from the base of the cliff. The height of the cliff is 80 m. Find the initial horizontal speed.
6) Two projectiles are launched from ground level with equal speeds v. One is launched at 60° and the other at 30°. Which has the greater time of flight, which has the greater maximum height, and which has the greater range? Explain briefly.
7) A projectile launched at 45° reaches a maximum height of 20 m. Find its initial speed.
8) A projectile is launched with speed 50 m/s at 40° above the horizontal. Find (a) the vertical component of velocity at launch, (b) the horizontal range, and (c) the speed of the projectile at the highest point.
9) Show mathematically that for a projectile launched from and landing on the same horizontal level with fixed initial speed u, the range R is maximum when the launch angle θ = 45°.
10) A projectile is launched from the top of a 20 m high platform at speed 20 m/s and angle 37° above the horizontal. Find (a) the time taken to hit the ground, and (b) the speed on impact.
11) A stone is thrown horizontally from a height of 1.25 m with speed 5 m/s. Find (a) the time to reach the ground, (b) the speed on impact, and (c) the angle of impact below the horizontal.
12) A projectile is launched from the ground at speed u at angle θ. Derive expressions for (a) time of flight, (b) maximum height, and (c) horizontal range in terms of u, θ and g.
13) A shell is fired with speed 40 m/s at an angle of 60° from ground level. A vertical wall is located 100 m away horizontally. Determine the height above the ground at which the shell strikes the wall (if it does).
14) A projectile has a time of flight equal to 6.0 s when launched at 36° from horizontal. Find its initial speed.
15) A ball is projected from the top of a 10 m high building at speed 25 m/s at 30° above the horizontal. Find how far horizontally from the base of the building the ball will land.
16) Show that for a projectile launched from and landing on the same level (neglecting air resistance) the magnitude of its speed just before impact equals its initial speed. Briefly explain why.
17) A projectile launched at 20 m/s attains a maximum height of 10 m. Find the launch angle.
18) A football is kicked so that it lands 40 m away on level ground. If the launch angle was 30°, find the initial speed of the kick.
19) A projectile is launched at 25 m/s at angle θ and reaches a maximum horizontal range of 64 m. Assuming the launch and landing levels are the same, find the launch angle (use g = 9.8 m/s²) and check whether the computed R is consistent with the given value.
20) A projectile is launched at 12 m/s at 30° above horizontal. At what time(s) after launch is the projectile at a height of 5.0 m? (Give physically meaningful positive times.)
Would you like full worked solutions, short answers only, or these converted into multiple-choice format?
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