Daniel takes his two dogs, Pauli the Pointer and Newton the Newfoundland, out to a field and lets them loose to exercise. Both dogs sprint away in different directions while Daniel stands still. From Daniel's point of view, Newton runs due north at 4.15 m/s, but from Pauli's point of view, Newton appears to be moving at 1.50 m/s due east. What is Pauli's velocity relative to Daniel, ?⃗PD? Give your answer in unit vector notation, where north is taken to be the positive ?-direction and east is the positive ?-direction. ?⃗PD=?ı̂+?ȷ̂ ?=??? m/s   ?=???? m/s   Next, express your answer as a magnitude and an angle measured counterclockwise from due east. magnitude=??? m/s

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?

A truck is moving at +35.0 m /s when the driver sees a red light. In 2.60 seconds, the truck comes to a stop. A. Find the truck's acceleration (magnitude and direction). B. Find the truck's displacement(magnitude and direction).

1. 3.A helicopter blade spins at exactly 100 revolutions per minute. Its tip is 5.00 m from the center of rotation. (a) Calculate the average speed of the blade tip in the helicopter's frame of reference. (b) What is its average velocity over one revolution? 2. Acceleration is the change in velocity over time. Given this information, is acceleration a vector or a scalar quantity? Explain. 3. A commuter backs her car out of her garage with an acceleration of (a) How long does it take her to reach a speed of 2.00 m/s? (b) If she then brakes to a stop in 0.800 s, what is her deceleration

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?

Huck Finn walks at a speed of 0.60 m/s across his raft (that is, he walks perpendicular to the raft's motion relative to the shore). The raft is traveling down the Mississippi River at a speed of 1.77 m/s relative to the river bank (see the figure (Figure 1)). Figure 10.60 m/s River 1 of 1 Y ▼ Part A What is Huck's velocity (speed and direction) relative to the river bank? Express your answer to three significant figures and include the appropriate units. Submit Part B 0- Submit Value μA Provide Feedback Request Answer Value ħ Express your answer to three significant figures and include the appropriate units. μA Units Request Answer d C F Units ? ? from the right horizontal direction

Include a picture or description of your coordinate system (origin, positive direction).

HOW?An automobile travels on straight road for 39km at 24km/h. If then continues in the same direction for another 39 km at 48km/h.  a. What is the average velocity of the car during his 78 km trip? (Assume that it moves positive direction) b. What is the average speed?

Two trains are 900.0 kilometers apart. One is in Portland. The other is in San Francisco. They both begin traveling toward each other at the same time. The Portland train travels with an average velocity of 80.0 km/hr South. The San Francisco train travels North with an average velocity of 65.0 km/hr North.a. At what time will the two trains meet?b. How far away will they be from Portland when they meet?

On the Apollo 14 mission to the moon, astronaut Buzz Aldrin hit a golf ball with a golf club improvised from a tool. The free-fall acceleration on the moon is 1/6 of its value on earth. Suppose he hit the ball with a speed of 29 m/sm/s at an angle 22 ∘∘ above the horizontal.   a. how long was the ball in flight in seconds? b. how far did it travel in meters? c. If there was no air resistance, how much farther would it travel in meters on the moon than on earth?