A velocity vector has a magnitude of 720 m/s. Two students draw arrows representing this vector. Clarisse chooses a scale such that 1 cm → 100 m/s. a. What is the length of the arrow that Clarisse draws? b. Francois's arrow is half as long as Clarisse's. What is Francois's scale? c. Is one student's choice better than the other? If so, what makes it a better scale?
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- U 9 P . Vector t 9 Match the vectors p, q, 7, 3, and t with one of the combinations of the u and vectors from the graph. S V Р 1 S Q Vector Combination a. 3u - v b. u + v c. 3u d. e. v - 2uA car is driving along a circular track of diameter d = 0.75 km at a constant speed of v = 22 m/s.a. Write an expression for the magnitude of acceleration a of the car in terms of the given parameter. b. What is the magnitude, in meters per second squared, of the acceleration a of the car. c. Write an expression for the minimum coefficient of the friction μ between the car's tires and the road that is required in order to keep the car going in a circle in terms of the given parameters.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?
- You are traveling to the North-East at 50 m/s. Simultaneously you are being pushed towards the East at a speed of 10 m/s. a. If you proceed in this manner for 10 minutes, what is the displacement vector from the t=0 location? b. How far do you travel in the East direction during these 10 mins.?When there is air resistance present how to the velocity and acceleration vectors behave? a.The acceleration and velocity vectors are both constant magnitude but continually change direction. b.The acceleration vector is constant and points straight down. The velocity vector is at a tangent to the trajectory c.The acceleration vector is perpendicular to the trajectory and the velocity vector is at a tangent to it. d.The acceleration changes throughout the flight with its x-component opposite the direction of motion. The velocity vector is at a tangent to the trajectoryHow do I solve 55?
- When there is no air resistance what best describes the vectors of a projectile in motion: a.The acceleration vector and velocity vector are both constant magnitude. b.The acceleration vector is constant magnitude and perpendicular to the trajectory. The velocity vector is at a tangent to the trajectory c.The acceleration vector is constant and points straight down. The velocity vector is perpendicular to the trajectory d.The acceleration vector is constant and points straight down. The velocity vector is at a tangent to the trajectoryVectors: a.) Can you find two vectors with different lengths that have a vector sum of zero?Explain your answer in detail. b.) Can the magnitude of an object’s displacement be larger than the distance it hastraveled? What is the condition for them being equal. Explain your answers in detail.Asking for help on 9, 10, and 11 if possible ?
- 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.Whale sharks swim forward while ascending or descending. They swim along a straight-line path at a shallow angle as they move from the surface to deep water or from the depths to the surface. In one recorded dive, a shark started 50 m below the surface and swam at 0.85 m/s along a path tipped at a 13° angle above the horizontal until reaching the surface. a. What was the horizontal distance between the shark's starting and ending positions?A ball is thrown at an initial height of 90 feet at an initial velocity of 55 feet/second at an angle of 75 degrees. Given the parametric equations y = 16t2 + Vo · Sin(0)t + ho and r = Vo Cos(0)t. When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 3 seconds? feet. b. When will the object hit the ground? seconds. c. How far horizontally will the ball be when it hits the ground? feet. d. When will the ball be at its maximum height? seconds. e. What is the ball's maximum height? feet. f. How far horizontally will the ball be when it reaches its maximum height? feet