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Well, you have the lengths of the hypotenuse and the side adjacent to the angle. What quantity do you know that links the hypotenuse and adjacent sides to the angle?BillNyDaSiGuy said:
BillNyDaSiGuy said:
The formula for finding the angle from velocity and ramp is given by the inverse tangent function (arctan) of the ratio of the vertical velocity to the horizontal velocity. This can be expressed as:
θ = arctan (vy/vx)
The velocity of an object on a ramp can be determined using the equation v = √(vx2 + vy2), where vx is the horizontal velocity and vy is the vertical velocity. These velocities can be calculated using the initial velocity, acceleration due to gravity, and the angle of the ramp.
No, the angle cannot be negative when finding it from velocity and ramp. The inverse tangent function only returns values between -π/2 and π/2, so the angle will always be positive or negative. However, if the ramp is facing downwards, the angle will be negative in relation to the horizontal.
The mass of an object does not affect the angle on a ramp, as it is determined by the initial velocity and the acceleration due to gravity. However, the mass of an object can affect the velocity and trajectory of the object on the ramp.
The angle found from velocity and ramp is measured in radians (rad). This is the standard unit for measuring angles in the scientific and mathematical fields. It can also be converted to degrees by multiplying the value in radians by 180/π.
