Question

an object of mass m is projected from the ground with initial speed v0 find the speed at height h​

Answer 1

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Answer 2

Given:

Initial speed of the object = v0 m/s

Mass of the object = m kg

To find:

Speed of the object at height h.

Solution:

Using the formula: v²= u² + 2aS

Where v = final velocity,

u =initial velocity,

S is the distance covered,

a is the acceleration.

Here in this case acceleration is in the opposite direction and magnitude = acceleration due to gravity (g)

Putting the values we get:

v² = v0² + 2*(-g)*h

v² = v0² - 2gh

v =√(v0²- 2gh)

The speed at height h = √(v0² -2gh) m/s.