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A child drops a ball from a height of 10cm. Assume that its velocity increases uniformly at a rate of 10m/s2. 1- Find the velocity with which the ball strikes the ground and 2- the time taken by the ball to reach the ground.?
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A child drops a ball from a height of 10cm. Assume that its velocity i...
Answer:
Given:
Initial height, h = 10 cm = 0.1 m
Acceleration, a = 10 m/s2
Final velocity, v = ?
Time taken, t = ?
Initial height, h = 10 cm = 0.1 m
Acceleration, a = 10 m/s2
Final velocity, v = ?
Time taken, t = ?
1. Finding final velocity:
Final velocity of the ball can be found by using the formula:
v2 = u2 + 2as
Where,
u = initial velocity = 0
s = distance travelled = h = 0.1 m
u = initial velocity = 0
s = distance travelled = h = 0.1 m
Substituting these values in the formula, we get:
v2 = 02 + 2 × 10 × 0.1
v2 = 2
v = √2 ≈ 1.41 m/s
v2 = 2
v = √2 ≈ 1.41 m/s
Therefore, the velocity with which the ball strikes the ground is 1.41 m/s.
2. Finding time taken:
The time taken by the ball to reach the ground can be found by using the formula:
s = ut + ½at2
Where,
u = initial velocity = 0
a = acceleration = 10 m/s2
s = distance travelled = h = 0.1 m
t = time taken = ?
u = initial velocity = 0
a = acceleration = 10 m/s2
s = distance travelled = h = 0.1 m
t = time taken = ?
Substituting these values in the formula, we get:
0.1 = 0 × t + ½ × 10 × t2
0.1 = 5t2
t2 = 0.02
t = √(0.02) ≈ 0.14 s
0.1 = 5t2
t2 = 0.02
t = √(0.02) ≈ 0.14 s
Therefore, the time taken by the ball to reach the ground is 0.14 seconds.
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A child drops a ball from a height of 10cm. Assume that its velocity increases uniformly at a rate of 10m/s2. 1- Find the velocity with which the ball strikes the ground and 2- the time taken by the ball to reach the ground.?
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A child drops a ball from a height of 10cm. Assume that its velocity increases uniformly at a rate of 10m/s2. 1- Find the velocity with which the ball strikes the ground and 2- the time taken by the ball to reach the ground.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A child drops a ball from a height of 10cm. Assume that its velocity increases uniformly at a rate of 10m/s2. 1- Find the velocity with which the ball strikes the ground and 2- the time taken by the ball to reach the ground.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A child drops a ball from a height of 10cm. Assume that its velocity increases uniformly at a rate of 10m/s2. 1- Find the velocity with which the ball strikes the ground and 2- the time taken by the ball to reach the ground.?.
A child drops a ball from a height of 10cm. Assume that its velocity increases uniformly at a rate of 10m/s2. 1- Find the velocity with which the ball strikes the ground and 2- the time taken by the ball to reach the ground.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A child drops a ball from a height of 10cm. Assume that its velocity increases uniformly at a rate of 10m/s2. 1- Find the velocity with which the ball strikes the ground and 2- the time taken by the ball to reach the ground.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A child drops a ball from a height of 10cm. Assume that its velocity increases uniformly at a rate of 10m/s2. 1- Find the velocity with which the ball strikes the ground and 2- the time taken by the ball to reach the ground.?.
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