A plane first travels in the East direction at a speed of 500 km / h for 15 minutes. Later, it turns its route to the South and travels at 90 km / hour for 30 minutes. a. Draw the vector diagram of the speed of the airplane. b. Find the magnitude and direction (by angle) of the average velocity of the airplane during this time. c. Find out how far the plane has traveled over the total time.

Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = ν'(t) = -g, where g = 9.8 m/s2.a. Find the velocity of the object for all relevant times.b. Find the position of the object for all relevant times.c. Find the time when the object reaches its highest point. What is the height?d. Find the time when the object strikes the ground. A payload is dropped at an elevation of 400 m from a hot-air balloonthat is descending at a rate of 10 m/s.

We set the origin of a coordinate system so that the position of a train is x = 0 m at t = 0 s. Shows is the train’s velocity graph.a. Draw position and acceleration graphs for the train.b. Find the acceleration of the train at t = 3.0 s.

A please

4. Marcus throws a rock straight up into the air. It leaves his hand 1.2 meters above the ground, and it hits the ground 3.5 seconds later. Find a. the initial speed of the rock when it leaves his hand b. the maximum height the rock reaches before falling back down, relative to the ground c. the speed of the rock right before it hits the ground

Coasting due West on your bicycle at 9.6 m/s, you encounter a sandy patch of road 6.7m across. When you leave the sandy patch your speed has been reduced by 3.8m/s to 5.8 m/s. a. Assuming the sand causes a constant acceleration, what was the bicycle’s acceleration in the sandy patch? Give both the magnitude and direction. b. How long did it take to cross the sandy patch? c. Suppose you enter the sandy patch with a speed of only 7.6 m/s. Is your final speed in this case 3.4m/s, more than 3.4m/s, or less than 3.4 m/s? Explain.

You and your family are going on a road trip to visit your recently married cousin in B.C. The total round trip distance is 2100 km. On the way to B.C., you encounter no setbacks and you are able to drive on average at a constant speed. On the way home from B.C., you encounter a snowstorm and your mom has to slow down to avoid getting into an accident. Thus, your average speed decreases by 10 km/h. If the total driving time was 42 hours, what was your average speed on the way to B.C.? Recall distance = speed x time.

A rhinoceros is at the origin of coordinates at time t1 = 0. For the time interval from t1 to t2 = 11.0 s, the rhino's average velocity has x-component - 4.20 m/s and y-component 5.10 m/s.  a. At time t2 = 11.0 s what is the x-coordinate of the rhino? b. At time t2 = 11.0 s what is the y-coordinate of the rhino? c. How far is the rhino from the origin?