Exam 3: Motion in a Plane

A projectile is projected from the origin with a velocity of 25.0 m/s at an angle of 45.0 degrees above the horizontal. What is the time it takes for the projectile to hit the ground?

The interstate on-ramp is 1.5 km west of your home, and on leaving for grandmother's house you are only able to accomplish an average velocity of 12 km/hr between your home and the on-ramp. At the on-ramp, you wait for traffic for 2.0 min before proceeding toward grandmother's house. If you wish to arrive there, which is 15 km south of the on-ramp, over a river and through some woods, in a total elapsed time of 25.0 minutes, what average speed must you maintain on the interstate highway?

The y-component of a vector is −15.0, while its magnitude is 27.2. Which could be the vector's direction?

A projectile is projected from the origin with a velocity of 20.0 m/s at an angle of 60.0 degrees above the horizontal. What is the maximum height of the projectile?

A projectile is launched from the edge of a cliff with a velocity of 10.0 m/s at an angle of 30.0 degrees above the horizontal. What is the velocity of the projectile 2.00 seconds later (ignoring air resistance, and assuming it hasn't reached the ground yet)?

A projectile is projected from the origin with a velocity of 20.0 m/s at an angle of 30.0 degrees above the horizontal. The projectile lands on a roof that is 4.0 m high. What is the total horizontal distance covered when the projectile hits the roof?

A displacement vector D is given as 40.0 m at an angle of 60.0 degrees EAST of NORTH. The D_x component and the D_y component of the vector are

You drive five blocks due north, five blocks due east, and another two blocks due north. What is the magnitude of your displacement?

A beetle runs an erratic pattern on a square kitchen table that is 1.5 m on a side. The sides are arranged along the directions north/south and east/west. It begins at the southwest corner and travels east along one side to the adjacent corner in 20.0 s. It then turns north and reaches the northeast corner 12.5 s later. What is the magnitude of the beetle's average velocity for the whole trip?

A projectile is launched from the edge of a cliff with a velocity of 45.0 m/s at an angle of 30.0 degrees above the horizontal. Relative to its starting point, what is the location of the projectile 3.00 seconds later?

A projectile is projected from the origin with a velocity of 25.0 m/s at an angle of 50.0 degrees above the horizontal. What is the time of maximum height of the projectile?

An ant crawls in a straight line at a constant speed of 0.24 m/s for a distance of 3.0 m, beginning in the corner of a square classroom. It then turns exactly 90 degrees to the right and proceeds an additional 4.0 m with a constant speed of 0.44 m/s, reaching the other corner of the same wall from which it began. What was the ant's average speed for the full trip from corner to corner?

A projectile is thrown from the top of a tall building with a velocity of 15.0 m/s at an angle of 30.0 degrees above the horizontal. Relative to its starting point, what is the location of the projectile 2.00 seconds later?

A projectile is projected from the origin with a velocity of 20.0 m/s at an angle of 30.0 degrees above the horizontal. The projectile lands on a roof that is 4.00 m high. What is the time when the projectile hits the roof?

The velocity of the air with respect to the ground is 50.0 m/s at an angle of 30.0 degrees NORTH of EAST. The velocity of the airplane with respect to the air is 150 m/s at an angle of 60.0 degrees NORTH of EAST. What is the velocity of the airplane with respect to the ground?

A rocket is launched from the origin with an acceleration of 20.0 m/s² at an angle of 30.0 degrees above the horizontal. The launch acceleration lasts for 2.00 seconds at which time the fuel is exhausted. The rocket then falls with an acceleration of 9.80 m/s² downward. What is the total time of flight?