# A projectile is shot from the ground at a velocity of #5 m/s# and at an angle of #(7pi)/12#. How long will it take for the projectile to land?

The only force acting on the projectile after being fired is the force of gravity.

We may resolve the motion into 2 components :

In the vertical (Y) direction, there is constant acceleration due to gravity and hence the equations of motion for uniform acceleration in 1 direction are valid.

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

To find the time it takes for the projectile to land, we can use the formula for the time of flight of a projectile:

[ t = \frac{2v_0 \sin(\theta)}{g} ]

where:

- ( v_0 ) is the initial velocity (5 m/s in this case),
- ( \theta ) is the launch angle (( \frac{7\pi}{12} ) radians in this case),
- ( g ) is the acceleration due to gravity (approximately 9.8 m/s²).

Plugging in the values:

[ t = \frac{2 \times 5 \times \sin\left(\frac{7\pi}{12}\right)}{9.8} ]

[ t \approx \frac{10 \times 0.9659}{9.8} ]

[ t \approx \frac{9.659}{9.8} ]

[ t \approx 0.9855 \text{ seconds} ]

So, it will take approximately 0.9855 seconds for the projectile to land.

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.

- If a projectile is shot at an angle of #pi/2# and at a velocity of #37 m/s#, when will it reach its maximum height??
- The brakes are applied on a car traveling at 30. m/s [fwd]. The car stops in 3.0s. What is its displacement during this time?
- An object is at rest at #(8 ,1 ,2 )# and constantly accelerates at a rate of #3 m/s# as it moves to point B. If point B is at #(6 ,7 ,5 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
- An object travels North at # 7 m/s# for #6 s# and then travels South at # 3 m/s# for # 8 s#. What are the object's average speed and velocity?
- An object is moving with initial velocity of 20m/s. It must slow down to a stop in .33 seconds and travel 4m. Write a solution that applies a force to the object to satisfy the expected result.?

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