# If a projectile is shot at a velocity of #2 m/s# and an angle of #pi/6#, how far will the projectile travel before landing?

The distance is

Therefore,

By signing up, you agree to our Terms of Service and Privacy Policy

The horizontal distance traveled by a projectile can be calculated using the equation:

[ \text{Range} = \frac{{v^2 \cdot \sin(2\theta)}}{g} ]

Where:

- ( v ) is the initial velocity (2 m/s)
- ( \theta ) is the launch angle (π/6 radians or 30 degrees)
- ( g ) is the acceleration due to gravity (9.8 m/s²)

Plugging in the values:

[ \text{Range} = \frac{{2^2 \cdot \sin(2 \cdot \pi/6)}}{9.8} ]

[ \text{Range} = \frac{{4 \cdot \sin(\pi/3)}}{9.8} ]

[ \text{Range} = \frac{{4 \cdot \sqrt{3}/2}}{9.8} ]

[ \text{Range} = \frac{{2 \cdot \sqrt{3}}}{9.8} ]

[ \text{Range} ≈ 0.36 , \text{m} ]

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- A projectile is shot at an angle of #pi/4 # and a velocity of # 15 m/s#. How far away will the projectile land?
- A projectile launched with an angle of 45.0° above the horizontal is in the air for 7.5 s. What is the initial velocity of the projectile?
- Objects A and B are at the origin. If object A moves to #(5 ,-3 )# and object B moves to #(-7 ,2 )# over #3 s#, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
- A projectile is shot at an angle of #pi/4 # and a velocity of # 12 m/s#. How far away will the projectile land?
- A projectile is shot from the ground at an angle of #( pi)/3 # and a speed of #7/4 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7