Question about vectors, velocity, time and distance?

In summary, the problem involves an arrow being fired at a 45 degree angle with a velocity of 30 m/s above the horizontal from a 3m high cliff. To solve, you will need to resolve the initial velocity into x and y components and use equations involving initial and final velocity, time, displacement, and acceleration.
  • #1
brandon d
2
0
An arrow is fired at and angle of 45 degrees with a velocity of 30 m/s above the horizontal off the edge of a 3m high cliff.

A) Resolve the initial velocity into its x and y components.
B) Find how long it takes the arrow to hit the ground below the cliff
C) Find how far from the cliff the arrow hits the ground.

PLease give some hints/formulas or ways to show me how to solve this
 
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  • #2
Have you been given any formulas you think might relate to this problem? What theory have you gone through?
 
  • #3
We have been doing forulas with stuff like j hat and i hat
Equations with initial and final velocity, time, inital and final displacement and acceleration
 

FAQ: Question about vectors, velocity, time and distance?

What is a vector?

A vector is a quantity that has both magnitude (size) and direction. It is represented by an arrow pointing in the direction of the vector, with the length of the arrow representing its magnitude.

How is velocity different from speed?

Velocity is a vector quantity that describes the rate of change of an object's position, taking into account both its speed and direction. Speed, on the other hand, is a scalar quantity that only describes the rate of change of distance.

What is the relationship between time and distance?

Time refers to the duration or interval between two events, while distance is the amount of space between two points. The relationship between time and distance can be described using the equation distance = speed x time.

How do vectors and scalars differ?

Vectors and scalars are both types of quantities, but they differ in how they are measured. Vectors have both magnitude and direction, while scalars only have magnitude. Examples of vectors include force, velocity, and displacement, while examples of scalars include time, temperature, and mass.

Can you have a negative velocity?

Yes, velocity can be negative. This indicates that the object is moving in the opposite direction of the positive direction, or that its direction is changing. For example, a car moving backwards has a negative velocity, while a car moving forwards has a positive velocity.

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