An airplane accelerates at 3.00 m/s² from a velocity of 21.0 m/s over a distance of 535 m. What is its final velocity?
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- The rocket sled starts from rest and accelerates at a = 30 + 2t m/s² until its velocity is 400 m/s. It then hits a water brake and its acceleration is a = -0.003v² m/s² until its velocity decreases to 100 m/s. What total distance sf does the sled travel?A particle starts from rest and accelerates as shown in the figure below. az (m/s²) 1 15 20 (s) 7 " 5 10 -1 -2 -3 (a) Determine the particle's speed at t = 10.0 s. m/s Determine the particle's speed at t = 20.0 s? m/s (b) Determine the distance traveled in the first 20.0 s. (Enter your answer to one decimal places.)Arthur and Betty start walking towards each other when they are 100 m apart. Arthur walks with a speed of 3.2 m/s and Betty with a speed of 3.1 m/s. How long does it take to meet? Write the answer using 3 significant figures
- A particle moves at 93 m/s when subjected to an acceleration of A = −t2/4 m/s2. How far in meters will it travel before coming to rest? Write your answer in two decimal places.2. An object of mass 200 g (0.2 kg) is thrown vertically upwards with a velocity of 8 m/s from a height of 10 m above the ground. It reaches certain maximum height and falls straight back to ground. Ignore air resistance in this problem. (a) Draw v-t graph that represents the velocity of the object after it is launched upwards and until it hits the ground. (b) How long does it take for the object to reach the maximum height? (c) What is the maximum height of the object from the ground? (d) How long does it take for the object to reach the ground from the highest point of motion? (e) What is the velocity of the object as it reaches ground? (Hint: Not zero).The acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.) (a) What is the particle's acceleration (in m/s²)? = î+ 18.4 v(t) = (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = î+ X Î- i) m/s m/s
- 8. A 200 kg weather rocket is loaded with 100 kg of fuel and fired straight up. It accelerates upward at 30 m/s² for 30 s, then runs out of fuel. Ignore any air resistance effects. (a) What is the rocket's maximum altitude? (b) How long is the rocket in the air before hitting the ground?In 1992, a 14-kg meteorite struck a car in Peekskill, NY, leaving a 20-cm-deep dent in the trunk. If the meteorite was moving at 500 m/s before striking the car, what was the magnitude of its acceleration while stopping? Find the time it takes for the meteorite to come to a complete stop.You want to visit your friend in Seattle and decide to take the train. Unfortunately, you are late getting to the train station. You are running as fast as you can, but 30 meters ahead of you the train begins to pull out. You can run at a maximum speed of 8 m/s and the train is accelerating at 1 m/s². In 50 meters you will reach a barrier. Can you catch up to the departing train? Argue why you should or should not jump onto the moving train?
- Answer parts a, and b of the following question. 7. a) Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has a speed of 3.0 m/s and Betty has a speed of 2.0 m/s. How long does it take for them to meet? b) The captain orders his starship to accelerate from rest at a rate of "1 g" (1 g = 9.8 m/s2). How many days does it take the starship to reach 10% the speed of light? (Light travels at 3.0 × 108 m/s.)A spaceship is traveling at a constant velocity of v⃗ (t)=250.0iˆm/sv→(t)=250.0i^m/s when its rockets fire, giving it an acceleration of a⃗ (t)=(3.0iˆ+4.0kˆ)m/s2.a→(t)=(3.0i^+4.0k^)m/s2. What is its velocity 5 s after the rockets fire?A hippopotamus can run up to 9.86 m/s. Suppose a hippopotamus uniformly accelerates 0.28 m/s² until it reaches a top speed of 9.86 m/s. If the hippopotamus has run 25.1 m, what is its initial speed in m/s? (round your answer to two decimal places; DO NOT include units)