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Calculate distance from a velocity time graph?
The area between the graph and the x-axis is the distance moved. If the velocity is constant the v vs t graph is a straight horizontal line. The shape of the area under the graph is a rectangle. For constant velocity, distance = V * time. Time is the x-axis and velocity is the y-axis. If the object is accelerating, the velocity is increasing at a constant rate. The graph is a line whose slope equals the acceleration. The shape of the graph is a triangle. The area under the graph is ½ * base * height. The base is time, and the height is the velocity. If the initial velocity is 0, the average velocity is final velocity ÷ 2. Distance = average velocity * time. Distance = (final velocity ÷ 2) * time, time is on the x-axis, and velocity is on the y-axis. (final velocity ÷ 2) * time = ½ time * final velocity ...½ base * height = ½ time * final velocity Area under graph = distance moved Most velocity graphs are horizontal lines or sloping lines.
How is the velocity-time graph related to the distance traveled?
The product of velocity and time yields distance travelled if the velocity is constant for the time in question. If velocity is not constant, one must first calculate the average velocity over a given time period before multiplying it by the time involved.
To calculate velocity you need to know the total?
Velocity is a speed and its direction. Speed is the quotient of change in distance (D) divided by change in time (T). Therefore calculating speed is dependent on the two variables of D and T, as well as the direction in which the position has changed. In SI unites the measure of the magnitude of velocity uses meters (m) per second(s).
If an object is accelerating what equation relates the distance traveled by that object to the initial velocity final velocity and time?
The equation that relates the distance traveled by a constantly accelerating object to its initial velocity, final velocity, and time is the equation of motion: [ \text{distance} = \frac{1}{2} \times (\text{initial velocity} + \text{final velocity}) \times \text{time} ] This equation assumes constant acceleration.
How do you calculate distance when given velocity and weight?
To calculate distance with velocity and weight, you can use the equation for work: Work = Force x Distance. The force can be calculated by multiplying the weight with gravity. Velocity can then be used to determine the time it takes for the object to travel that distance using the equation Distance = Velocity x Time.
What is the horizontal distance traveled by a projectile?
The horizontal distance traveled by a projectile is determined by the initial velocity of the projectile, the angle at which it was launched, and the time of flight. It can be calculated using the equation: horizontal distance = (initial velocity * time * cosine of launch angle).
How can one calculate the distance traveled by an object using its velocity and the time it has been in motion?
To calculate the distance traveled by an object, multiply its velocity by the time it has been in motion. This formula is distance velocity x time.
What do you need to know to be able to determine how far a projectile travels horizontally?
To determine how far a projectile travels horizontally, you need to know the initial velocity of the projectile, the angle at which it was launched, and the acceleration due to gravity. Using these values, you can calculate the time of flight and then multiply it by the horizontal component of the initial velocity to find the horizontal distance traveled.
What two measurements would you use to calculate the velocity of an object?
To calculate the velocity of an object, you would typically need two measurements: the distance traveled and the time taken to travel that distance. By dividing the distance traveled by the time taken, you can determine the object's velocity.
How can one determine the launch velocity of a projectile?
To determine the launch velocity of a projectile, you can use the projectile motion equations. By measuring the initial height, horizontal distance traveled, and the angle of launch, you can calculate the launch velocity using trigonometry and kinematic equations.
What do the horizontal motions of a projectile have in common?
The horizontal motions of a projectile are independent of its vertical motion. This means that the horizontal velocity remains constant and unaffected by gravity. Additionally, the horizontal distance traveled by a projectile is determined by the initial horizontal velocity and the time of flight.
How to find the distance traveled by an object with given acceleration and initial velocity?
To find the distance traveled by an object with a given acceleration and initial velocity, you can use the formula: distance (initial velocity time) (0.5 acceleration time2). This formula takes into account the initial velocity, acceleration, and time the object has been moving to calculate the total distance traveled.
How do you determine the initial velocity in projectile motion?
To determine the initial velocity in projectile motion, you can use the equation v (x y) / t, where v is the initial velocity, x is the horizontal distance traveled, y is the vertical distance traveled, and t is the time taken.
How can one determine the distance traveled by an object using its velocity and acceleration?
To determine the distance traveled by an object using its velocity and acceleration, you can use the equation: distance initial velocity time 0.5 acceleration time2. This formula takes into account the initial velocity of the object, the time it has been traveling, and the acceleration it is experiencing. By plugging in these values, you can calculate the distance traveled by the object.
How can the horizontal distance traveled by the ball increase?
The horizontal distance traveled by the ball can increase by increasing the initial velocity of the ball or by reducing the effect of air resistance. Additionally, increasing the launch angle of the ball can also help it travel further horizontally.
At what angle from a horizontal should a weapon be fired to achieve minimum distance traveled by the projectile?
The weapon should be fired at a 45-degree angle from the horizontal to achieve the minimum distance traveled by the projectile. This angle maximizes the range (horizontal distance) of the projectile by balancing the vertical and horizontal components of its velocity. At any other angle, the total distance traveled would be greater.
How can one determine velocity by using acceleration and distance?
To determine velocity using acceleration and distance, you can use the equation: velocity square root of (2 acceleration distance). This formula takes into account the acceleration of the object and the distance it has traveled to calculate its velocity.
