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A boy standing on a long railroad car throws a ball straight upward. The car is moving on the horizontal road with an acceleration of 1m/s2 and the projection velocity in the vertical direction is 9.8m/s. How far behind the boy will the ball fall on the car?
Verified Answer
A boy standing on a long railroad car throws a ball straight upward. T...
we shall use the following kinematic equation to describe the vertical motion of the ball to to its maximum height (half its journey in flight)

v = u + at

 here
v = o
u = 9.8 m/s
a = -9. m/s^2

 thus,
0 = 9.8 - 9.8t
so, the time taken by the ball to reach maximum height will be

t = 9.8 / 9.8 = 1 secs.
or total time of flight, T = 2t = 2 secs

 now, the horizontal distance travelled by car in 2 seconds will be
s = uT + (1/2)aT2

 here,
u = 0
T = 2 secs.
a = -1 m/s^2

thus,
s = 0 + (1/2).-1.2^2
so, the distance between ball and car will be
s = -2m
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Most Upvoted Answer
A boy standing on a long railroad car throws a ball straight upward. T...
The ball shall fall back to boys hand if thers no air resistance bcoz along with car the ball also has a forward acc of 1m/s2
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A boy standing on a long railroad car throws a ball straight upward. The car is moving on the horizontal road with an acceleration of 1m/s2 and the projection velocity in the vertical direction is 9.8m/s. How far behind the boy will the ball fall on the car?
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A boy standing on a long railroad car throws a ball straight upward. The car is moving on the horizontal road with an acceleration of 1m/s2 and the projection velocity in the vertical direction is 9.8m/s. How far behind the boy will the ball fall on the car? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A boy standing on a long railroad car throws a ball straight upward. The car is moving on the horizontal road with an acceleration of 1m/s2 and the projection velocity in the vertical direction is 9.8m/s. How far behind the boy will the ball fall on the car? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy standing on a long railroad car throws a ball straight upward. The car is moving on the horizontal road with an acceleration of 1m/s2 and the projection velocity in the vertical direction is 9.8m/s. How far behind the boy will the ball fall on the car?.
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