Problem 1. (a) A plane flies a distance of 100km with 200, then turns around and flies back. How long will the flight take? (Ignore any acceleration and deceleration phases.) (b) The same plane flies the same route on another day. This time the plane encounters a steady headwind of 40 in the outbound trip and correspondingly a tailwind of 40 on the return trip. How long will the flight take now?
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- Usually, Tony travels to Bunbury from Perth city in 2.50 hours. One day he increases his average speed by 12.0 km/h and takes 22.5 minutes less time to reach Bunbury. (a) What was his usual average speed? What was the distance travelled? (b) On the way he stopped at a rail crossing (6.00 m wide) and a train (total length 144m) decelerating at -0.585 ms2 just entered the crossing with a velocity of 13.7 m s¹. Sketch a diagram and find the minimum time for the last carriage of the train to clear the crossing.2. A motorist saw a humps 33 m away at a speed of 14.5 m/s. He immediately slams on the brake and decelerates 1.2 m/s 2 with a speed of 11.7 m/s. (a) Will he stop before the humps (express your answer in magnitude)? (b) How long it will take before stopping?(a) If a flea can jump straight up to a height of 0.440 m, what is its initial speed as it leaves the ground? (b) How long is it in the air? Note: Round off your answers in the nearest hundredth.
- The other day, while riding my bike, I was forced to stop quickly to avoid a squirrel in the middle of the road 60 feet ahead. I decelerated at a constant rate of 15 ft/sec², skidding all the way. One second into the slide, my trip computer said I was going 27 ft/sec. How far did I skid before stopping? Did I avoid hitting the squirrel? Round to the nearest tenthYou are driving home from school steadily at 95 km/h for 180km. It then begins to rain and you slow to 65 km/h. You arrive home after driving 4.5 h. (a) How far is your hometown from school? (b) What was your average speed?A car sits on an entrance ramp to a freeway, waiting for a break in the traffic. Then the driver accelerates with constant acceleration along the ramp and onto the freeway. The car starts from rest, moves in a straight line, and has a speed of 20 m/s 145 mi/h2 when it reaches the end of the 120-m-long ramp. (a) What is the acceleration of the car? (b) How much time does it take the car to travel the length of the ramp? (c) The traffic on the freeway is moving at a constant speed of 20 m/s.What distance does the traffic travel while the car is moving the length of the ramp?
- A car sits on an entrance ramp to a freeway, waiting for a break in the traffic. Then the driver accelerates with constant acceleration along the ramp and onto the freeway. The car starts from rest, moves in a straight line, and has a speed of 20 m/s (45 mi/h) when it reaches the end of the 120-m-long ramp. (a) What is the acceleration of the car? (b) How much time does it take the car to travel the length of the ramp? (c) The traffic on the freeway is moving at a constant speed of 20 m/s.What distance does the traffic travel while the car is moving the length of the ramp?You are driving home from school steadily at 98 km/h for 150 km . It then begins to rain and you slow to 63 km/h instantly. You arrive home after driving 4.5 hours. A) How far is your hometown from school? (in km) B) What was your average speed? (in km/h) Add solution.A high-performance sports car can go from 0 to 100 mph (44.7 m/s) in 5.8 s. (Assume the car travels in the positive direction. Indicate the direction with the sign of your answer.) (a) What is the car's average acceleration? m/s? (b) The same car can come to a complete stop from 31 m/s in 5.5 s. What is its average acceleration? m/s?
- (2) A model rocket rises vertically from rest with a constant acceleration of 3.23 m/s² until it runs out of fuel at an altitude of 948 m. Neglect air resistance and take upwards as the positive direction for position and velocity. (a) What maximum altitude does the rocket reach? (answer: 1260 m) (b) How much time does the rocket take to reach its maximum altitude? (answer: 32.3 s) (c) What is the velocity of the rocket at the moment it hits the ground? (answer: -157 m/s) (d) What is the total flight time of the rocket from the moment it is launched until the moment it hits the ground? (answer: 48.3 s) (3) A hot air balloon is rising at a constant speed of 2.14 m/s. One of the passengers, a physics professor, has left his brain on the ground. A concerned student tosses the brain straight upward with an initial speed of 10.23 m/s, hoping the professor will catch it. The professor is unable to catch his brain on its way up but is able to catch it on its way back down. If the professor is…A train is initially traveling at 127m/s forward with a constant acceleration of −11.2m/s2.(a) How long does it take the train to stop?(b) What is the train’s displacement after 32s?(c) What is the train’s velocity at this time?. A cyclist reaches the top of a hill at 5.0 m/s and travels downhill with a constant acceleration, reaching the bottom in 8.3 s with a speed of 11.4 m/s. How long was the hill (total length down)?