In the Soap Box Derby, kids build non-motorized cars with very low-friction wheels. They race by rolling down a hill. The track at Akron's Derby Downs begins with a 14-meter section tilted 15 degrees below the horizontal. A. Draw a useful pictorial representation for this problem. Clearly indicate the angle above, and a useful coordinate system. B. What is the acceleration of a car rolling down this hill (ignore friction)? C. If a car starts from rest at the top of the section so that will be its speed at the bottom of this section of the track?

David is buying a jet boat this summer and spending a lot of time zooming around. One place he plans on going is to the Plate River above Albany, NY. The current is 4 m/s south and the river is 200m wide. the boat will move at 20 m/s at full throttle, his only setting.  A. how quickly will he cross the river if he heads straight across?B. how far downstream will he end up if he does so?C. if he wants to go straight across, what angle upstream should he use?

4. A ball is shot from a cannon at 50 m/s at an angle of 30° above the horizontal. a. Draw a labeled diagram with all relevant information. Note directions you chose to be +x and +y. b. How far has the ball traveled horizontally when it reaches its highest point in the flight? How high is it at this point? c. What is the speed of the ball at the highest point in its flight?

1. Give a real world example of the following. A. Something that can be modeled as a vector. B. Something that can be modeled as a scaler.

How to solve questions A through C

Q2. A plane has an airspeed of 915 km/h. The pilot sets the heading at [S34°E]. There is an 84 km/h wind headed [W12°N]. [A7, C4] a) Draw and label the vector diagram for the wind and plane's velocities. b) Calculate the velocity of the plane as seen by an observer on the ground.

A 20-kg boy slides down a playground slide with a constant acceleration a = 1.1 m/s2 parallel to the surface of the slide. The boy starts sliding with an initial speed of v0=0. Refer to the figure. a) write an expression for the child's speed squared, vf2, at the bottom of the slide in terms of a, v0, and the length of the slide, d.  b If the slide is 4.0 m long and the boy's final speed is vf=f = 5.0 m/s, what is his initial speed, in meters per second?  c) When starting from rest, how long, in seconds, does it take the boy to reach the bottom of the slide?

Projectile motion A projectile is launched from the origin, which is a point 50 ft from a 30-ft vertical cliff (see figure). It is launched at a speed of 50√2 ft/s at an angle of 45° to the horizontal. Assume the ground is horizontal on top of the cliff and that only the gravitational force affects the motion of the object.a. Give the coordinates of the landing spot of the projectile on the top of the cliff.b. What is the maximum height reached by the projectile?c. What is the time of flight?d. Write the integral that gives the length of the trajectory.e. Approximate the length of the trajectory.f. What is the range of launch angles needed to clear the edge of the cliff?

1. Describe the trajectory of the object, qualitatively.  How does this trajectory compare to that of a horizontally launched projectile? 2. How does the velocity change as a vector over time?  Describe both the original vector and its components as they change over time.  (Note: Think of this question not just in terms of number, but also in terms of the orientation of the velocity vector of the projectile).

physics homework problem that doesn’t have an example type in the book. I do not earn points for the homework in my class, the problems are just practice for my quiz.