Exam 3: Motion in Two and Three Dimensions

A projectile is ejected from a 25-m high tower with a velocity of 40 m/s at an angle of 30 degrees to the horizontal first on Earth and then on Mars. What is the ratio of maximum height above ground level on Mars to Earth (i.e., h_max(Mars) / h_max(Earth))? (Assume g_Mars = 0.38g_Earth)

Use the following to answer question : -The figure represents the parabolic trajectory of a ball going from A to E in Earth gravity but without air resistance. What is the direction of the acceleration at point B?

The position vector locating the point P(12,-5) relative to the origin is

The initial position and velocity of a projectile are given by and respectively, and where r is in m and v in m/s. The position in the vertical direction (in m) as a function of time is

A projectile is fired at an angle of 45º above the horizontal. If air resistance is neglected, the line in the graph that best represents the horizontal displacement of the projectile as a function of travel time is

A rescue airplane is diving at an angle of 37º below the horizontal with a speed of 250 m/s. It releases a survival package when it is at an altitude of 600 m. If air resistance is ignored, the horizontal distance of the point of impact from the plane at the moment of the package's release is

Mark throws a ball to Daniel with an initial speed of 20 m/s at an angle of 45 degrees. If they are initially 55 m apart, calculate the average speed Daniel has to run to catch the ball. (Assume the ball is thrown and caught at the same height. Also assume that Daniel starts to run when the ball is thrown.)