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- 2. In Figure, a bird changes direction in 2.8 s while flying from point 1 to point 2. Determine the bird's average acceleration. Hint: Use component method. (A /6 man 2 v₂ = 8.5 m/s [E 30.0° N] = 6.4 m/s [E 30.0° S]2. A stone was accidentally dropped from the top of a building 56 m high. After 0.38 s, another stone was thrown vertically downward from the top of the same building. It was observed that the two stones hit the ground at the same time. What was the initial velocity given to the second stone? (Answer: 4 m/s, downward) Give the solution for this (given, solution)6.
- A skydiver falls d1=355m in t1=8.7s before opening her parachute. After the chute opens, she falls an additional d2=780m in t2=116s. Calculate the skydiver’s average speed, v avg in meters per second, during the entire fall.7. The height of a helicopter above the ground is given by h =20.0 t-5.0 t where h is in meters and t is in seconds. At t=1.00 s, the helicopter releases a small mailbag. a) What is speed of a mailbox before hint to the ground? b) How long mailbox in air? 8. Starting from rest at 5 m from origin, a small still ball's horizontal component of velocity is 90.0 mile/hour in a straight line in 10.0 s. Ball's acceleration is constant during the entire motion, what is ball's final position?4. You wake up in a strange room, with opaque walls, and no visible doors or windows. you drop a ball from a height of 1.12 m and it hits the floor 0.191 s after you drop it. This time you suspect you are on a rocket that has just left the surface of the Earth, and is still not too far above the ground. What do you deduce the rocket s acceleration to be? 71.2 m/s^2 61.4 m/s^2 98.0 m/s^2 51.6 m/s^2
- A jet plane comes in for a landing with a speed of 120 m/s. The length of the runway is 500 m. From the instant the plane touches the runway, What is the time interval needed to come to rest (in seconds)?Ball bearing manufacturing is quite an art! In order to make perfect spherical balls, the manufacturers let molten metal droplets to fall inside a tall tower (i.e. the shot tower) to solidify as they fall. If a ball bearing needs 2.75 seconds to solidify enough for impact, how tall (in m) must the tower be? Use 9.80 m/s2 for the local acceleration due to gravity and assume no significant air resistance.14. The speed of a nerve impulse in the human body is about 100 m/s. If you accidentally stub you toe in the dark, estimate the time it takes the nerve impulse to travel to your brain. (Assume that you are approximately 1.70 m tall and that the nerve impulse travels at uniform speed.)
- 15. A runner runs one lap on a 400 m oval in 50 s (i.e. he returns to his starting point in 50 s). What is the magnitude of his average velocity for this 50 s interval? 4.0 m/s 6.0 m/s 8.0 m/s 0.80 m/s zero 14. The magnitudes of two vectors A and B are 13 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A +B ? largest units smallest unitsA sports car starts from rest at an intersection and accelerates toward the east on a straight road at 7.0 m/s2m/s2. Just as the sports car starts to move, a bus traveling east at a constant 16 m/sm/s on the same straight road passes the sports car. When the sports car catches up with and passes the bus, how far has the sports car traveled?7. Sergio kicks his soccer ball horizontally off the roof. The roof is 2.7 m high and the ball leaves the roof at 4.3 m/s. How long is the ball in the air? 8. From the previous problem, how far from the base of the roof does the ball land?