A car starts from rest and accelerates at . At t = 4s, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at t = 6 s?

(Take g = 10 m/s2)

1.

2.

3.

4.

Subtopic:  Projectile Motion |
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NEET 2023 - Target Batch - Aryan Raj Singh
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A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution. If this particle were projected with the same speed at an angle $\text{'}\mathrm{\theta }\text{'}$ to the horizontal, the maximum height attained by it equals 4R. The angle of projection, $\mathrm{\theta }$, is then given by:

1. $\mathrm{\theta }={\mathrm{sin}}^{-1}{\left(\frac{{\mathrm{\pi }}^{2}\mathrm{R}}{{\mathrm{gT}}^{2}}\right)}^{1/2}$

2. $\mathrm{\theta }={\mathrm{sin}}^{-1}{\left(\frac{2{\mathrm{gT}}^{2}}{{\mathrm{\pi }}^{2}\mathrm{R}}\right)}^{1/2}$

3. $\mathrm{\theta }={\mathrm{cos}}^{-1}{\left(\frac{{\mathrm{gT}}^{2}}{{\mathrm{\pi }}^{2}\mathrm{R}}\right)}^{1/2}$

4. $\mathrm{\theta }={\mathrm{cos}}^{-1}{\left(\frac{{\mathrm{\pi }}^{2}\mathrm{R}}{{\mathrm{gT}}^{2}}\right)}^{1/2}$

Subtopic:  Projectile Motion |
To view explanation, please take trial in the course below.
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To view explanation, please take trial in the course below.
NEET 2023 - Target Batch - Aryan Raj Singh
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A ball is projected with a velocity of 10 ms-1 at an angle of 60° with the vertical direction. Its speed at the highest point of its trajectory will be:
1.  $$10$$ ms-1
2.  zero
3.  $$5\sqrt3$$ ms-1
4.  $$5$$ ms-1
Subtopic:  Projectile Motion |
To view explanation, please take trial in the course below.
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NEET 2023 - Target Batch - Aryan Raj Singh
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A cricket ball is thrown by a player at a speed of 20 m/s in a direction 30° above the horizontal. The maximum height attained by the ball during its motion is: (g = 10 m/s2)
1.  5 m
2.  10 m
3.  20 m
4.  25 m
Subtopic:  Projectile Motion |
To view explanation, please take trial in the course below.
NEET 2023 - Target Batch - Aryan Raj Singh
To view explanation, please take trial in the course below.
NEET 2023 - Target Batch - Aryan Raj Singh