# A projectile is shot from the ground at an angle of #pi/6 # and a speed of #1 m/s#. When the projectile is at its maximum height, what will its distance, factoring in height and horizontal distance, from the starting point be?

H=0.012m and

Now if the time of flight be T then the object will return to the ground after T sec and during this T sec its total vertical dosplacement h will be zero. So applying the equation of motion under gravity we can write

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To find the distance from the starting point when the projectile is at its maximum height, you can use the formula for the horizontal range of a projectile:

Range = (initial velocity * time of flight * cos(angle))

At maximum height, the vertical component of velocity is zero, and you can find the time of flight using the formula for the time to reach maximum height:

Time to reach maximum height = (initial vertical velocity) / (gravitational acceleration)

Given:

- Angle = π/6 radians
- Initial velocity = 1 m/s
- Gravitational acceleration = 9.8 m/s²

Calculate the vertical component of the initial velocity: Initial vertical velocity = initial velocity * sin(angle)

Then, calculate the time to reach maximum height: Time to reach maximum height = (initial vertical velocity) / (gravitational acceleration)

Finally, calculate the horizontal range: Range = (initial velocity * time to reach maximum height * cos(angle))

Substitute the given values into the equations and solve for the horizontal range.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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