Rosie is moving with a uniform acceleration and has a velocity of 12.0 cm/s in the positive x-direction when her x-coordinate is 3.00 cm. If her x-coordinate 2.00 s later is - 5.00 cm, what is her acceleration? Pixel is wanderin
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- UAM Exercises: x-direction Rosie is moving with a uniform acceleration and has a velocity of 12.0 cm/s in the positive x-direction when her x-coordinate is 3.00 cm. If her x-coordinate 2.00 s later is - 5.00 cm, what is her acceleration? Pixel is wandering around the house when she gets a case of what can only be described as the rips. She runs through the house and then finally begins to slow down for 6.0s to 1.5 m/s. a) If Pixel's displacement during this time is 19.5 m, what was her initial velocity when she started slowing down? b) What is her acceleration during the slow down? A motorcyclist starts from rest and travels for 10.0 s with a uniform acceleration of +1.25 m/s². The motorcyclist then applies the brakes, causing a uniform acceleration of -0.75 m/s². If the brakes are applied for 4.0 s, a) How fast is the motorcycle going at the end of the braking period, and b) how far has the motorcycle traveled?tourist throws a rock horizontally off the edge of a high cliff, with an initial velocity of lo m.s! a) Taking the y-axis to be upward, write equa- tions for the x- and y. coordinates as functions of time. b) Calculate the values of x and y at times t=0, 0.5, 1.0, 1.5 and 2.0 S c) Write equations for the x and y components of the rock's velocity. d) Find the magnitude and direction of the velocity at time to los. Is the velocity tangent to the trajectory?The position of a particular particle as a given by 1)Determine particle's velocity and acceleration as a time.2)Determine function of time is ji=2t i +3t² j–t°k the m. function of the magnitude of velocity and acceleration at time t=2s. dr dv Hint: V dt dt ||
- A woodpeckers brain is specially protected from large decelerations by tendon-like attachments inside the skull. While pecking a tree, the woodpeckers head comes to a stop from an inital velocity of 1 m/s in only 1.5 mm. A) Find the acceleration of the woodpeckers head. B) The tendons cradling the brain stretch, increaing the stopping distance for the brain to 5 mm. What is the brain's acceleration? C) A woodpecker's brain has a mass of about 2 g. What force is exerted on the tendons holding the brain and how does it compare to a 170 g woodpecker's body weight?a) a projectile motion can be viewed as two one-dimensional motions, what are these two one-dimensional motions ? b) Why in a projectile motion, along the horizontal direction, the motion can be viewed as an uniform motion?2/6 The acceleration of a particle is given by a = -kt, where a is in meters per second squared and the time t is in seconds. If the initial velocity of the par- ticle at t = 0 is vo = 12 m/s and the particle takes 6 seconds to reverse direction, determine the mag- nitude and units of the constant k. What is the net displacement of the particle over the same 6-second interval of motion?
- A student releases a marble from the top of a 160cm ramp. The marble increases speed steadily and reaches the bottom of the ramp in 2.70s. a)What was the magnitude of the marble's acceleration? b)What was the marble's final speed?1つ7 3. An object undergoes motion in 2 dimensions under a constant acceleration of "-2.50 m/s at an angle of 50.0° with respect to the + x direction. It also has an initial velocity of vi = 7.00 m/s at an angle of 10,0° The object begins at the coordinates (0, 0). a) What are the coordinates of the object at t = 7.00 s? Want Cx, y) at t =?4 4tzテメ0チ=XT vse this Con Vxi = \V;l cos v +ハ Ay=lalsin Ga b) What is its total velocity vector of the object as a magnitude and direction at t = 7.00 s? a) Ov= TonDraw a motion diagram for a ball rolling along the floor at 4 m/s for 6s, then hits a wall and rolls the other direction at 2m/s for 6s. Make the time interval 1s. Needs Complete solution with 100 % accuracy.
- 3) You throw a ball straight up. The ball leaves your hand at a height of 2.00 m above the ground with a speed of 20.0 m/s (~45 mph). Ignore air resistance and use g = 10.0 m/s2. You can use a spreadsheet but show a sample calculation for the velocity and the position at t = 1.5 s. 3a.) Calculate and make a table of the height, y(t), and y-velocity, vy(t), at 0.50-second intervals until the ball hits the ground. Your table should have the units in the column headers: t (s), vy (m/s), y (m) Remember to add the ysubscripts when the motion is along the y-axis. 3b.) Use this data to draw a motion diagram for the ball at 0.50-second intervals. Label the time, y-coordinate,and the velocity at each time interval. Label the origin, starting height, maximum height, and final height.Include the instantaneous velocity vectors at each time and location of the ball. 3c.) Calculate the time it takes for the ball to hit the ground and the final velocity of the ball just as it hits the ground.…Q-21 A ball is thrown from the ground and after t second is at a distance meter from the ground, where – bt². Form the differential equation assuming a, b are arbitrary constants. also find its velocity S = at and acceleration at t = 1 sec, given that a = 5, b = 2 %3DThe Starship Enterprise returns from warp drive to ordinary space with a forward speed of 57 km/s. lo the crow's great surprisc, a Klingon ship is 150 km directly ahead, traveling in the same direction at a mere 21 km/s. Without evasive action, the Enterprise will overtake and collide with the Klingons in just about 4 5s The Enterprise's computers react instantly to brake the ship. What magnitude acceleration does the Enterprise need to just barely avoid a collision with the Klingon ship? Assume the acceleration is constant Hint: Draw a position versus time graph showing the motions of both the Enterprise and the Klingon ship. Let æn - 0km be the location of the Interprise as it returns from warp drive I low do you show graphically the situation in which the collision is "barely avoided"? Once you decide what it looks like graphically, express that situation mathematically. Express your answer to two significant figures and include the appropriate units. a = μA Value m s² Review |…