You go watch your friend as she runs at a cross country meet. The first time she passes you, your friend runs by going due north at a speed of 4.40 m/s. You move to a different place on the course and twelve minutes after you saw her the first time, your friend runs past you again. This time she is traveling at a speed of 3.80 m/s in the direction 30.0◦ W of S. What is the direction of her average acceleration between those same two times

On a hot summer day, a young girl swings on a rope above the local swimming hole (Figure 1). When she lets go of the rope her initial velocity is 2.35 m/s at an angle of 35.0° above the horizontal. Figure Vo 35.0⁰ < 1 of 1 ▼ Part A If she is in flight for 0.618 s, how high above the water was she when she let go of the rope? Express your answer in meters. ►View Available Hint(s) h Submit Provide Feedback MacBook Pro л- |Π| ΑΣΦ P Pearson Po m 3 a 11 Nex

A secret agent skis off a slope inclined at θ = 28.3 degrees below horizontal at a speed of v0 = 17.4 m/s. He must clear a gorge, and the slope on the other side of the gorge is h = 11.9 m below the edge of the upper slope. a.)What is the maximum width, w, of the gorge (in meters) so that the agent clears it?

b) I(1, 0, 0), J(0, 1, 0), and K(0, 0, 1) 6, A helicopter takes off at a ground velocity of 150 km/h. It climbs at an angle of 48° toward the east. A 17-km/h wind is blowing from the south. Determine the resultant air and ground velocities. Include a diagram in your solution. The Eiffel Tower is 324 m tall. Denise is

A charged particle moves under the influence of an electric field. Its x-position andy-position, as a function of time, are observed to be x(t) = 4 + 3t+t2 y(t) = 6−4t+ 0.5t2 meters, where the x- and y-direction are east and north, respectively. Letˆiandˆjdenote unit vectors in the eastward and northward direction. a) At arbitrary time t, what is the particle’s velocity? Express your answer as a vectorusingˆi,ˆj notation, and also by specifying the magnitude and direction. b) At arbitrary time t, what is the particle’s acceleration? Again, useˆi,ˆjnotation,and also specify the magnitude and direction. c) How fast is the particle moving at the moment it is moving due east?

Several people stand on a bridge over a river.  The bridge is not level, so the people are all different heights above the river.  Each person throws a stone to the river. a) The first person is 26.8 m above the river and throws her stone with a speed of 16.6 m/s at an angle of 6 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below).  How long does it take her stone to hit the water, in seconds? b) The second person is 19.0 m above the river and throws his stone with a speed of 17.1 m/s at an angle of -21.4 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below).  What is the range of his stone, in meters? c)The third person is 9.1 m above the river and throws their stone with a speed of 6.5 m/s at an angle of 9.3 degrees to the horizontal (positive degrees are above horizontal, negative degrees are below).  What is the speed of this stone (in m/s) just before it strikes the river?

1. You are standing on a cliff of height h = 1.5m. You throw a ball straight down towards the ground below at a speed of v, = 0.4m/s. How long does it take for the ball to hit the ground?

5a. An airplane maintains a speed of 693 km/h relative to the air it is flying through as it makes a trip to a city 724 km away to the north. (Assume north is the positive y-direction and east is the positive x-direction.) What time interval is required for the trip if the plane flies through a headwind blowing at 32.4 km/h toward the south? h

Q/ A particle moves in an xy plane according to x(1)= -20.00 + 20.00t - 4.00 and y(t) = 25.00 + 17.00t -19.00², with x and y in meters and t in seconds. At t= 10 s, a. What is the particle velocity vector vì nunit vector notation? b. What is the particle acceleration vector đìn unit vector notation?

A bug flies east at 2.5 m/s. A light breeze blows on the bug with a velocity of 2.5 m/s due east. What is the resultant velocity of the bug? O 5 m/s, east O 5 m/s, west O 2.5 m/s, east O 0 m/s