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- You're playing a cartoony racing video game, with a character on a motorcycle. You drive your character off a ledge at 15 m/s. The next ledge for the character's bike to land on is 25 m away (horizontally) and 12 m below. Assume the video game has realistic physics coded into it, except that acceleration due to gravity is only 8.0 m/s^2. a) will your character land on the next platform? b) whether they land or not, find their velocity (magnitude and direction) as they either land on or pass through the 12 m below position.If a spaceship traveling through deep space with the velocity vector as a function of time: v = (2t i +4t j+ 6t k) m/s. (time is in seconds). Given the initial position of the spaceship is r0= (20 i− 50 j − 100 k ) m. At what time would the spaceship be the closest to the origin? and What would the acceleration of the spaceship be at this instant? If you can express the acceleration in Cartesian vector form. Also ? is the unit vector in the z-direction.A firework is launched with an initial velocity of 25 m/s at an angle of 60 degrees with respect to the horizontal. a. The horizontal component of the firework’s velocity, just before it reaches the peak of its motion (where it will explode)?b. The vertical component of the firework’s velocity, at a time 0.4 seconds after it was launched.c. The magnitude and direction of the acceleration of the firework, at a time 0.4 seconds after it was launched.
- Two stones are released from rest, at the same height above the ground, one after the other. Will the time interval between the instants at which they hit the ground be Choose one: a. Greater than the time interval between the instants of their release? b. Equal to the time interval between the instants of their release? c. Smaller than the time interval between the instants of their release? A golfer gives a golf ball a velocity of 48 m/s at an angle of 40° with the horizontal. What is the vertical component of the ball's initial velocity? Choose one: a. 31 m/s b. 48 m/s c. 36 m/s d. 36.7 m/s A sprinter accelerates from rest at 6.0 m/s2. How long will it take the sprinter to reach a velocity of 8.0 m/s? Choose one: a. 14 s b. 1.3 s c. 0.75 m/s d. 48 sA person is riding on a flatcar traveling at a constant speed of 200 km/s (Fig.). He wishes to throw a ball through a stationary hoop 90 km above the height of his hands in such a manner that the ball will move horizontally as it passes through the hoop. He throws the ball with a speed of 250 m/s with respect to himself. (a) How many time required after he releases the ball will it pass through the hoop? (b) What must the vertical component of the initial velocity of the ball? (c) At what horizontal distance in front of the hoop must he release the ball? (d) When the ball leaves the man's hands, what is the direction of its velocity relative to the frame of reference of the flatcar? Relative to the frame of reference of an observer standing on the ground?A person is riding on a flatcar traveling at a constant speed of 200 km/s (Fig.). He wishes to throw a ball through a stationary hoop 90 km above the height of his hands in such a manner that the ball will move horizontally as it passes through the hoop. He throws the ball with a speed of 250 m/s with respect to himself. (a) How many time required after he releases the ball will it pass through the hoop? (b) What must the vertical component of the initial velocity of the ball? (c) At what horizontal distance in front of the hoop must he release the ball? (d) When the ball leaves the man's hands, what is the direction of its velocity relative to the
- A seagull flies at a velocity of 10.00 m/s straight into the wind. (a) If it takes the bird 20.0 min to travel 6.00 km relative to the earth, what is the velocity of the wind?(b) If the bird turns around and flies with the wind, how long will he take to return 6.00 km?(c) Discuss how the wind affects the total round-trip time compared to what it would be with no wind.You stand on the seat of a chair and then hop off. (a) Duringthe time interval you are in flight down to the floor, theEarth moves toward you with an acceleration of what orderof magnitude? In your solution, explain your logic. Modelthe Earth as a perfectly solid object. (b) The Earth movestoward you through a distance of what order of magnitude?A military helicopter on a training mission is flying horizontally at a speed of 90.0 m/sm/s when it accidentally drops a bomb (fortunately, not armed) at an elevation of 360 mm . You can ignore air resistance. Please answer D and E A) How much time is required for the bomb to reach the earth? 8.5715 s B) How far does it travel horizontally while falling? 771.43 m. C)Find the horizontal component of the bomb's velocity just before it strikes the earth. 90 m/s. D)Find the vertical component of the bomb's velocity just before it strikes the earth. E)If the velocity of the helicopter remains constant, where is the helicopter when the bomb hits the ground?
- A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a headwind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hour and 30 minutes. What is the plane's speed in still air, and how fast is the wind blowing?A. his plane speed equals mph.? B. the wind speed equals mph.?A frictionless toy car is placed on a ramp, which is inclined at an unknown angle ? with respect to the horizontal. Starting from rest, the car is allowed to roll freely down the ramp. After time ?, the car has traveled a distance ? down the ramp and is moving with speed ?f. Express the speed of the car at time ? and the angle ? in terms of the given variables and ?, the acceleration due to gravity. Your answers may or may not include all of the given variables.The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a height of 1.54 m above the floor. The ball hits the floor 0.392 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)? 10.0 m/s^2 15.0 m/s^2 30.0 m/s^2 20.0 m/s^2