A particle is thrown vertically upwards. Its velocity at half of the height is 10m/s, then the maximum height attained by it will be: (g = 10 m/s2).
Step (1) Given:
The velocity at the half of the height,
The acceleration due to gravity,
Step (2) Finding the equation of motion when the particle is at the half of the height:
Let the maximum height be meter.
By the equation of motion formulas, we know
where is final velocity, is the acceleration due to gravity and is displacement.
Step (3) Finding the equation of motion when the particle is at the maximum height:
At the maximum height,
Step (4) Finding the maximum height using the equations (i) & (ii):
Putting the value of u2 in equation (i) we get
Hence, the answer is (A) 10 m