Projectile Motion - Velocity, Magnitude and Direction

A passenger on a boat moving at 1.20 m/s on a still lake walks up a flight of stairs at a speed of 0.50 m/s. The stairs are angled at 45° pointing in the direction of motion as shown. What is the velocity of the passenger relative to the water?

Find the magnitude (m/s) and direction (above the water). See the attached for the diagram.

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The solution is ...

Solution Summary

This solution is provided in approximately 86 words in an attached .doc and .pdf file. It uses the sum of vectors to find velocity and equations for angle and magnitude to determine the final answer.

... first C) the ranges of the two projectiles will be ...velocity always remains the same in the projectile motion since no ... is constant in all of the motion, we have. ...

... on velocity, acceleration, momentum, impulse, projectiles, laws of ... collision, centre of mass, Newton's motion laws. ... initial velocity of the projectile is given ...

... for 3.00 s along its initial line of motion with an ... g Due to the symmetry of the projectile, the fly ... since the acceleration a = 0, then the velocity is not ...

Projectile motion and geometry problems involving cosine law and sin law ... m/s (c) What was the velocity of each ... Let there velocities as they hit the water be v1 ...

... equal to the maximum height of the projectile (ball) and ... a) Horizontal velocity is vx and vertical velocity is zero. Time of flight is given by vertical motion. ...

... proportional to the square of the velocity with proportionality constant k>0 and acts to resist motion. ... the height dx of the projectile at time ...

... Answer: Acceleration of the projectile is equal to 9.8 m ... constant throughout its downwards motion as there ... horizontally has a horizontal velocity component at ...

... When the projectile is at the top of its trajectory ... a of the bullet is given by the equation of motion. ... changes and the magnitude of the final velocity is same ...

... sets of equation systems of motion for projectile motion are: For ... force, hence the motion is a free fall motion: ... no force at all, thus the velocity is constant ...