SATHEE: Kinematics Question 503

Kinematics Question 503

Question: A ball is rolled off the edge of a horizontal table at a speed of 4 m/second.It his the ground after 0.4 second.Which statement given below it’s true [AMU (Med.) 1999]

Options:

A) It his the ground at a horizontal distance 1.6 m from the edge of the table

B) The speed with which it his the ground it’s 4.0 m/second

C) Height of the table it’s 0.8 m

D) It his the ground at an angle of 60o to the horizontal

Show Answer

Answer:

Correct Answer: A

Solution:

Vertical component of velocity of ball at point P

$v_{V} = 0 + g t = 10 \times 0.4 = 4 m / s$

Horizontal component of velocity = initial velocity $\Rightarrow v_{H} = 4 m / s$

So the speed with which it his the ground $v = \sqrt{v_{H}^{2} + v_{V}^{2}} = 4 \sqrt{2} m / s$ and $\tan θ = \frac{v_{V}}{v_{H}} = \frac{4}{4} = 1$

therefore $θ = 45^{\circ}$ It means the ball his the ground at an angle of $45^{\circ}$ to the horizontal.

Height of the table $h = \frac{1}{2} g t^{2} = \frac{1}{2} \times 10 \times {(0.4)}^{2} = 0.8 m$

Horizontal distance travelled by the ball from the edge of table $h = u t = 4 \times 0.4 = 1.6 m$

Kinematics Question 503

Question: A ball is rolled off the edge of a horizontal table at a speed of 4 m/second.It his the ground after 0.4 second.Which statement given below it’s true [AMU (Med.) 1999]

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Kinematics Question 503

Question: A ball is rolled off the edge of a horizontal table at a speed of 4 m/second.It his the ground after 0.4 second.Which statement given below it’s true [AMU (Med.) 1999]

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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