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A ball is thrown vertically upward from the ground with speed 40 metre per second it collides with the ground after returning find the total distance travelled and time taken during its bouncing a equals to 0.5 MG equals to 10 metre per second square?
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A ball is thrown vertically upward from the ground with speed 40 metre...
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A ball is thrown vertically upward from the ground with speed 40 metre...
Initial conditions:
- Speed of the ball when thrown upward: 40 m/s
- Acceleration due to gravity: 10 m/s^2
Key points:
- The ball is thrown vertically upward and collides with the ground after returning.
- The ball experiences a constant acceleration due to gravity throughout its motion.
Calculation of time taken for the ball to reach maximum height:
- The initial vertical velocity is 40 m/s and acceleration is -10 m/s^2 (as the ball is moving against gravity).
- Using the equation v = u + at, where v is final velocity, u is initial velocity, a is acceleration, and t is time, we can find the time taken for the ball to reach maximum height.
- At maximum height, the final velocity becomes zero.
- Therefore, 0 = 40 - 10t.
- Solving this equation, we get t = 4 seconds.
Calculation of maximum height:
- The equation for displacement is s = ut + 0.5at^2, where s is displacement, u is initial velocity, a is acceleration, and t is time.
- Plugging in the values, we get s = 40 * 4 + 0.5 * (-10) * (4^2).
- Simplifying the equation, we get s = 80 meters.
Calculation of time taken for the ball to return to the ground:
- The time taken for the ball to reach maximum height is 4 seconds.
- Since the ball takes the same amount of time to fall back to the ground, the total time for the ball to collide with the ground is 4 seconds + 4 seconds = 8 seconds.
Calculation of total distance traveled:
- The ball reaches a maximum height of 80 meters and then returns to the ground.
- Therefore, the total distance traveled by the ball is 80 meters + 80 meters = 160 meters.
Summary:
- The ball takes 4 seconds to reach its maximum height, which is 80 meters.
- It then takes another 4 seconds to fall back to the ground, resulting in a total time of 8 seconds.
- The total distance traveled by the ball, including the upward and downward motion, is 160 meters.
- Speed of the ball when thrown upward: 40 m/s
- Acceleration due to gravity: 10 m/s^2
Key points:
- The ball is thrown vertically upward and collides with the ground after returning.
- The ball experiences a constant acceleration due to gravity throughout its motion.
Calculation of time taken for the ball to reach maximum height:
- The initial vertical velocity is 40 m/s and acceleration is -10 m/s^2 (as the ball is moving against gravity).
- Using the equation v = u + at, where v is final velocity, u is initial velocity, a is acceleration, and t is time, we can find the time taken for the ball to reach maximum height.
- At maximum height, the final velocity becomes zero.
- Therefore, 0 = 40 - 10t.
- Solving this equation, we get t = 4 seconds.
Calculation of maximum height:
- The equation for displacement is s = ut + 0.5at^2, where s is displacement, u is initial velocity, a is acceleration, and t is time.
- Plugging in the values, we get s = 40 * 4 + 0.5 * (-10) * (4^2).
- Simplifying the equation, we get s = 80 meters.
Calculation of time taken for the ball to return to the ground:
- The time taken for the ball to reach maximum height is 4 seconds.
- Since the ball takes the same amount of time to fall back to the ground, the total time for the ball to collide with the ground is 4 seconds + 4 seconds = 8 seconds.
Calculation of total distance traveled:
- The ball reaches a maximum height of 80 meters and then returns to the ground.
- Therefore, the total distance traveled by the ball is 80 meters + 80 meters = 160 meters.
Summary:
- The ball takes 4 seconds to reach its maximum height, which is 80 meters.
- It then takes another 4 seconds to fall back to the ground, resulting in a total time of 8 seconds.
- The total distance traveled by the ball, including the upward and downward motion, is 160 meters.
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A ball is thrown vertically upward from the ground with speed 40 metre per second it collides with the ground after returning find the total distance travelled and time taken during its bouncing a equals to 0.5 MG equals to 10 metre per second square?
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A ball is thrown vertically upward from the ground with speed 40 metre per second it collides with the ground after returning find the total distance travelled and time taken during its bouncing a equals to 0.5 MG equals to 10 metre per second square? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A ball is thrown vertically upward from the ground with speed 40 metre per second it collides with the ground after returning find the total distance travelled and time taken during its bouncing a equals to 0.5 MG equals to 10 metre per second square? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball is thrown vertically upward from the ground with speed 40 metre per second it collides with the ground after returning find the total distance travelled and time taken during its bouncing a equals to 0.5 MG equals to 10 metre per second square?.
A ball is thrown vertically upward from the ground with speed 40 metre per second it collides with the ground after returning find the total distance travelled and time taken during its bouncing a equals to 0.5 MG equals to 10 metre per second square? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A ball is thrown vertically upward from the ground with speed 40 metre per second it collides with the ground after returning find the total distance travelled and time taken during its bouncing a equals to 0.5 MG equals to 10 metre per second square? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball is thrown vertically upward from the ground with speed 40 metre per second it collides with the ground after returning find the total distance travelled and time taken during its bouncing a equals to 0.5 MG equals to 10 metre per second square?.
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