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Q. A ball is dropped from a height of 80 m. How long will it take to reach the ground? (Take g = 10 m/s²) (2021)

A. 4 s
B. 5 s
C. 6 s
D. 8 s

Solution

Using the formula h = (1/2)gt², we have 80 = (1/2)(10)t². Solving gives t² = 16, so t = 4 s.

Correct Answer: B — 5 s

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Q. A ball is swung in a vertical circle. At the highest point of the circle, what is the condition for the ball to just maintain its circular motion?

A. Weight must be greater than tension
B. Tension must be zero
C. Centripetal force must be zero
D. Weight must be less than tension

Solution

At the highest point, the centripetal force is provided by the weight of the ball. For just maintaining motion, tension can be zero.

Correct Answer: B — Tension must be zero

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Q. A ball is thrown at an angle of 30 degrees with a speed of 30 m/s. What is the time of flight until it hits the ground?

A. 3 s
B. 4 s
C. 5 s
D. 6 s

Solution

Time of flight (T) = (2u * sin(θ))/g = (2 * 30 * 0.5)/9.8 ≈ 3.06 s.

Correct Answer: C — 5 s

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Q. A ball is thrown at an angle of 30 degrees with an initial speed of 25 m/s. What is the time to reach the maximum height?

A. 1.25 s
B. 2.5 s
C. 3.5 s
D. 5 s

Solution

Time to max height t = (u * sin(θ)) / g = (25 * (1/2)) / 9.8 ≈ 1.28 s.

Correct Answer: B — 2.5 s

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Q. A ball is thrown at an angle of 45 degrees with an initial speed of 14 m/s. What is the range of the projectile?

A. 10 m
B. 14 m
C. 20 m
D. 28 m

Solution

Range (R) = (u² * sin(2θ)) / g = (14² * 1) / 9.8 ≈ 20 m.

Correct Answer: D — 28 m

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Q. A ball is thrown at an angle of 45 degrees with an initial speed of 28 m/s. What is the vertical component of the velocity at the peak of its trajectory?

A. 0 m/s
B. 14 m/s
C. 20 m/s
D. 28 m/s

Solution

At the peak, the vertical component of velocity is 0 m/s.

Correct Answer: A — 0 m/s

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Q. A ball is thrown at an angle of 60 degrees with a speed of 15 m/s. What is the horizontal range of the ball?

A. 20 m
B. 30 m
C. 40 m
D. 50 m

Solution

Range (R) = (u^2 * sin(2θ)) / g = (15^2 * sin(120)) / 9.8 = 38.5 m.

Correct Answer: C — 40 m

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Q. A ball is thrown downward with an initial speed of 10 m/s from a height of 20 m. How long will it take to hit the ground? (Assume g = 10 m/s²)

A. 2 s
B. 3 s
C. 4 s
D. 5 s

Solution

Using the equation of motion: h = ut + 0.5gt². 20 = 10t + 0.5 * 10 * t². Rearranging gives 5t² + 10t - 20 = 0. Solving this quadratic gives t = 2 s.

Correct Answer: C — 4 s

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Q. A ball is thrown downward with an initial speed of 10 m/s from a height of 20 m. How long will it take to hit the ground? (g = 10 m/s²)

A. 2 s
B. 3 s
C. 4 s
D. 5 s

Solution

Using the equation of motion: h = ut + 0.5gt². 20 = 10t + 0.5 * 10 * t². Rearranging gives 5t² + 10t - 20 = 0. Solving this quadratic gives t = 2 s.

Correct Answer: B — 3 s

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Q. A ball is thrown downward with an initial speed of 5 m/s from a height of 20 m. How long will it take to hit the ground? (g = 10 m/s²)

A. 2 s
B. 3 s
C. 4 s
D. 5 s

Solution

Using the equation of motion: h = ut + 0.5gt². 20 = 5t + 0.5 * 10 * t². Rearranging gives 5t + 5t² - 20 = 0. Solving the quadratic gives t = 2 s.

Correct Answer: B — 3 s

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Q. A ball is thrown downwards with an initial velocity of 5 m/s from a height of 20 m. How long will it take to hit the ground? (g = 10 m/s²)

A. 2 s
B. 3 s
C. 4 s
D. 5 s

Solution

Using the equation of motion: h = ut + 0.5gt². 20 = 5t + 0.5 * 10 * t². This simplifies to 5t + 5t² - 20 = 0. Solving gives t = 2 s.

Correct Answer: B — 3 s

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Q. A ball is thrown horizontally from a height of 20 m. How long does it take to hit the ground? (2019)

A. 1 s
B. 2 s
C. 3 s
D. 4 s

Solution

Using the equation of motion for free fall: h = (1/2)gt². 20 m = (1/2)(9.8)t². Solving gives t ≈ 2 s.

Correct Answer: B — 2 s

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Q. A ball is thrown horizontally from the top of a cliff 45 m high. How far from the base of the cliff will it land if it is thrown with a speed of 10 m/s?

A. 20 m
B. 30 m
C. 40 m
D. 50 m

Solution

Time to fall = sqrt(2h/g) = sqrt(2*45/9.8) ≈ 3.03 s. Horizontal distance = speed * time = 10 * 3.03 ≈ 30.3 m, approximately 30 m.

Correct Answer: B — 30 m

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Q. A ball is thrown horizontally from the top of a cliff 80 m high. How far from the base of the cliff will it land? (Assume g = 10 m/s² and horizontal speed = 20 m/s)

A. 20 m
B. 40 m
C. 60 m
D. 80 m

Solution

Time to fall = √(2h/g) = √(2*80/10) = 4 s. Horizontal distance = speed * time = 20 m/s * 4 s = 80 m.

Correct Answer: C — 60 m

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Q. A ball is thrown horizontally from the top of a cliff 80 m high. How far from the base of the cliff will it land? (Assume g = 10 m/s² and initial horizontal speed = 20 m/s)

A. 40 m
B. 60 m
C. 80 m
D. 100 m

Solution

Time to fall = √(2h/g) = √(2*80/10) = 4 s. Horizontal distance = speed * time = 20 * 4 = 80 m.

Correct Answer: C — 80 m

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Q. A ball is thrown horizontally from the top of a cliff with a speed of 15 m/s. If the cliff is 45 m high, how far from the base of the cliff will the ball land?

A. 30 m
B. 45 m
C. 60 m
D. 75 m

Solution

Time to fall = √(2h/g) = √(2*45/10) = 3 s. Horizontal distance = speed * time = 15 m/s * 3 s = 45 m.

Correct Answer: C — 60 m

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Q. A ball is thrown upwards with a speed of 15 m/s. How long will it take to reach the highest point? (Take g = 10 m/s²) (2023)

A. 1.5 s
B. 2 s
C. 3 s
D. 4 s

Solution

Time to reach highest point = u/g = 15/10 = 1.5 s.

Correct Answer: B — 2 s

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Q. A ball is thrown upwards with a speed of 20 m/s. How high will it go before it starts to fall back?

A. 10 m
B. 20 m
C. 30 m
D. 40 m

Solution

Maximum height H = (u²)/(2g) = (20²)/(2 * 9.8) ≈ 20.4 m.

Correct Answer: B — 20 m

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Q. A ball is thrown upwards with a speed of 20 m/s. How high will it rise before coming to a stop?

A. 10 m
B. 20 m
C. 30 m
D. 40 m

Solution

Maximum height (H) = (u²)/(2g) = (20²)/(2*9.8) ≈ 20.4 m.

Correct Answer: C — 30 m

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Q. A ball is thrown upwards with a speed of 20 m/s. How high will it rise before coming to rest?

A. 10 m
B. 20 m
C. 30 m
D. 40 m

Solution

Maximum height (H) = (u²)/(2g) = (20²)/(2*9.8) ≈ 20.4 m.

Correct Answer: B — 20 m

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Q. A ball is thrown upwards with a speed of 20 m/s. How long will it take to reach the maximum height?

A. 2 s
B. 3 s
C. 4 s
D. 5 s

Solution

Time to reach maximum height (t) = u/g = 20/9.8 ≈ 2.04 s.

Correct Answer: A — 2 s

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Q. A ball is thrown upwards with a speed of 20 m/s. How long will it take to reach the maximum height? (Take g = 10 m/s²) (2023)

A. 1 s
B. 2 s
C. 3 s
D. 4 s

Solution

Time to reach maximum height = initial velocity / g = 20 / 10 = 2 s.

Correct Answer: B — 2 s

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Q. A ball is thrown upwards with a speed of 25 m/s. How long will it take to reach the maximum height? (Assume g = 10 m/s²)

A. 2.5 s
B. 3 s
C. 4 s
D. 5 s

Solution

Time to reach maximum height = initial velocity / g = 25 / 10 = 2.5 s.

Correct Answer: A — 2.5 s

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Q. A ball is thrown upwards with a velocity of 20 m/s. How high will it go before coming to rest? (2023)

A. 10 m
B. 20 m
C. 30 m
D. 40 m

Solution

Using the formula h = v²/(2g), where g = 10 m/s², h = (20 m/s)² / (2 * 10 m/s²) = 20 m.

Correct Answer: C — 30 m

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Q. A ball is thrown upwards with an initial velocity of 20 m/s. How long will it take to reach the maximum height? (g = 10 m/s²)

A. 1 s
B. 2 s
C. 3 s
D. 4 s

Solution

Using the formula: t = v/g = 20/10 = 2 s.

Correct Answer: B — 2 s

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Q. A ball is thrown vertically upward with a speed of 20 m/s. How high will it rise before coming to rest?

A. 20 m
B. 40 m
C. 10 m
D. 80 m

Solution

Using the formula v² = u² + 2as, where v = 0, u = 20 m/s, a = -9.8 m/s². 0 = (20)² + 2(-9.8)s, solving gives s = 20.4 m, approximately 40 m.

Correct Answer: B — 40 m

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Q. A ball is thrown vertically upward with a speed of 20 m/s. How high will it rise before coming to rest? (g = 10 m/s²)

A. 20 m
B. 30 m
C. 40 m
D. 50 m

Solution

Using the formula v² = u² + 2as, where v = 0, u = 20 m/s, and a = -g = -10 m/s², we get 0 = (20)² + 2(-10)s, solving gives s = 20 m.

Correct Answer: B — 30 m

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Q. A ball is thrown vertically upward with a speed of 20 m/s. How high will it rise before coming to a stop? (g = 10 m/s²)

A. 20 m
B. 30 m
C. 40 m
D. 50 m

Solution

Using the formula v² = u² + 2as, where v = 0, u = 20 m/s, and a = -g = -10 m/s², we find 0 = (20)² + 2(-10)s, giving s = 20 m.

Correct Answer: C — 40 m

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Q. A ball is thrown vertically upward with a speed of 20 m/s. How long will it take to reach the maximum height?

A. 1 s
B. 2 s
C. 3 s
D. 4 s

Solution

Using v = u - gt, where v = 0, u = 20 m/s, and g = 9.8 m/s², we find t = u/g = 20/9.8 ≈ 2.04 s.

Correct Answer: B — 2 s

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Q. A ball is thrown vertically upward with a speed of 20 m/s. What is the maximum height it reaches? (g = 10 m/s²)

A. 20 m
B. 30 m
C. 40 m
D. 50 m

Solution

Using the formula h = v²/(2g) = (20 m/s)² / (2 * 10 m/s²) = 20 m.

Correct Answer: B — 30 m

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Major Competitive Exams

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