# A projectile is shot at an angle of #pi/4 # and a velocity of # 21 m/s#. How far away will the projectile land?

The projectile will land 45 m downfield, assuming it was launched over level ground.

It is now just a matter of replacing the variables with values:

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

To find the horizontal distance traveled by the projectile, you can use the formula: range = (initial velocity^2 * sin(2*theta)) / g, where theta is the angle of projection and g is the acceleration due to gravity (approximately 9.8 m/s^2). Plugging in the given values: range = (21^2 * sin(2*(pi/4))) / 9.8. Simplifying: range ≈ (441 * sin(pi/2)) / 9.8 ≈ (441 * 1) / 9.8 ≈ 44.91 meters. So, the projectile will land approximately 44.91 meters away.

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.

- What is # || < 9 , 1 , 6 > || #?
- How do you normalize #(- 7 i -j -25k)#?
- If a projectile is shot at a velocity of #1 m/s# and an angle of #pi/4#, how far will the projectile travel before landing?
- A projectile is shot from the ground at an angle of #pi/12 # and a speed of #7 /15 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?
- A projectile is shot from the ground at an angle of #(5 pi)/12 # and a speed of #5 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