To find the momentum of a body at its maximum height, we need to first calculate its velocity at that point. Given that the body is projected with a velocity of 36 km/hr in an upward direction, we can determine its final velocity at the maximum height using the principles of projectile motion.
At the maximum height, the body momentarily comes to rest before changing its direction of motion. Therefore, the final velocity (v_f) at the maximum height is 0 km/hr.
To find the momentum (p) at the maximum height, we can use the formula:
p = m * v_f
where: p is the momentum, m is the mass of the body, v_f is the final velocity.
Since the problem does not provide information about the mass of the body, we cannot determine the exact value of the momentum without knowing the mass. Momentum is directly proportional to mass, so without the mass, we cannot calculate the momentum.
However, if you have the mass of the body, you can substitute it into the formula along with the final velocity of 0 km/hr to calculate the momentum at the maximum height.