The range R of a projectile is R = sin(20) where vo is the initial velocity in feet per second and vo 32 is the angle of elevation. If vo = 2300 feet per second and is changed from 13° to 14° use differentials to approximate the change in the range. Round your answer to the nearest integer. Select one: a. 2811 ft * O b. 2593 ft O c. 5623 ft O d. 4568 ft O e. 5186 ft Incorrect

When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of v (0.3t) ft/s², where t is in seconds. Take p = 350 ft. (Figure 1) Figure 60° p 1 of 1 Part A If he starts from rest at A, determine the magnitude of his velocity when he reaches B. Express your answer to three significant figures and include the appropriate units. V = Part B _O Submit a = Value μA 7 Request Answer If he starts from rest at A, determine the magnitude of his acceleration when he reaches B. Express your answer to three significant figures and include the appropriate units. Submit μA Value Units Request Answer ? Units ?

At the beginning of a 3.0-h plane trip, you are traveling due north at 192 km/h. At the end, you are traveling 239 km/h in the northwest direction (45° west of north). a. Which of the following are the initial and final velocity vectors? SEE ATTACHMENTS b. Find the magnitude of the change in velocity. anser in km/h c. Find the change in direction of your velocity. Enter the angle in degrees where negative indicates north of west and positive indicates south of west. answer in degrees d. What is the magnitude of your average acceleration during the trip? answer in km/h^2

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 trajectory

A ball is thrown at an initial height of 65 feet at an initial velocity of 75 feet/second at an angle of 65 degrees. Given the parametric equations yY = - - 16t + Vo · Sin(0)t + ho and x = 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. seconds. b. When will the object hit the ground? feet. c. How far horizontally will the ball be when it hits the ground? seconds. d. When will the ball be at its maximum height? e. What is the ball's maximum height? feet. feet f. How far horizontally will the ball be when it reaches its maximum height?

An airplane is travelling at 620 km/h on a heading of 305°. The wind of 80 km/h is flowing from a bearing of 260º. Determine the ground velocity of the boat. You can use trigonometry method or rectangular components method, but the final answer needs to be written in the same form as the original question.

Someone drives 215 km west before turning to go 98 km southwest at 45°. How far are they from where they started? Express your answer using three significant figures. 293 km Submit Previous Answers ✓ Correct Part B In what direction are they from where the started, measured counterclockwise from due east?

What is the angel a vector A =2i - 2j makes with the +x axis? O A. 135° O B. 225° O C. 45° O D. 315°

At what initial speed must the basketball player throw the ball at angle θ0 = 66° to make the foul shot.  d1=1.0 ft, d2=14.0 ft, h1= 7.0 ft and h2= 10 ft.  Enter units in ft/s.  Use g = 32 ft/s/s.  Compute your answer to the ±0.1 f/s.  Hint: Use x = tvcos(θ) and y=vsin(θ)t - 1/2gt2

A sedan travels down and up the valley shown above. Identify the correct pair of velocity and acceleration vectors corresponding to the vehicle at the moment it is at the bottom of the valley. O A +a V O B. + V xid-1916614_1.jpg OC. + V Dxid-1916613_1.jpg OD.