A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 10 m from the takeoff point. If the kangaroo
A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 10 m from the takeoff point. If the kangaroo leaves the ground at a 20 angle, what are its (a) takeoff speed and (b) horizontal speed?
2. ||| A tennis player hits a ball 2.0 m above the ground. The ball leaves his racquet with a speed of 20 m/s at an angle 5.0 above the horizontal. The horizontal distance to the net is 7.0 m, and the net is 1.0 m high. Does the ball clear the net? If so, by how much? If not, by how much does it miss?
3. || A position vector with magnitude 10 m points to the right and up. Its x-component is 6.0 m. What is the value of its y-component?
4. || A cannon tilted upward at 30 fires a cannonball with a speed of 100 m/s. At that instant, what is the component of the cannonball's velocity parallel to the ground?
5. || BIO A wildlife researcher is tracking a flock of geese. The geese fly 4.0 km due west, then turn toward the north by 40 and fly another 4.0 km. How far west are they of their initial position? What is the magnitude of their displacement?
6. | Josh is climbing up a steep 34 slope, moving at a steady 0.75 m/s along the ground. How many meters of elevation does he gain in one minute of this climb?
7. || BIO A peregrine falcon in a tight, circular turn can attain a centripetal acceleration 1.5 times the free-fall acceleration. If the falcon is flying at 20 m/s, what is the radius of the turn?
8. | Anita is running to the right at 5 m/s, as shown in FigureP3.45. Balls 1 and 2 are thrown toward her at 10 m/s by friends standing on the ground. According to Anita, what is the speed of each ball?
Figure P3.45 10 m/s 10 m/s (2) 5 m/s
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