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- 5. A particle moves along a straight line with a velocity v = 12 – 3t2 m/s, where t is in seconds. When t=0s, the particle is located 10m to the left of the origin. Calculate the displacement of the particle from t=0s to t=10s.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?You drop an object from rest (initial velocity = 0) from a height of 6.8 metres. What is the final speed of the object as it hits the floor? (Speed is a magnitude and so must be a positive value). Assume the magnitude of the acceleration due to gravity g = 9.8 m/s2. Give your answer to 2 s.f.
- 1.A train moves with a constant velocity of 25 m/s. The train conductor at the front of the train begins towalk towards the back of the train with a velocity of 4.0 m/s. The train is 48 meters long. How long will ittake the conductor to reach the back of the train? 2.A ball is thrown on level ground at an angle of 25.0 degrees above the horizontal with an initial velocityof 18.0m/s. What is the range of the throw?Paola can flex her legs from a bent position through a distance of 22.1 cm. Paola leaves the ground when her legs are straight, at a speed of 3.80 m/s. Calculate the magnitude a, of her acceleration, assuming that it is constant. ay = m/s²1.What is the displacement of a horse rider with an initial velocity of 4.0 m/s and accelerates uniformly with a velocity of 18 m/s in 4.0 seconds?
- A toy rocket is traveling to the right at 15.0 m/s when it undergoes a constant acceleration of 3.00 m/s2 to the left. a) How long does it take before the rocket stops moving to the right? b) What distance does the rocket travel before it stops moving to the right? c) What distance does it travel in 7.00 s?PROBLEM 2.21 26. A car moving in the x-direction has an acceleration ax that varies with time as shown in the figure. At the moment t = 0.0 s, the car is located at x = 12 m and has a velocity of 6.0 m/s in the positive x-direction. Determine the displacement of the car t = 5.0 s? а. 82.22 m b. 63.33 m C. 67.22 m d. 75.33 m t (s) 1 2 4 6. ax (m/s²)A bullet 2.50 cm long is fired at 450 m/s and passes straight through a 12.0 cm thick board, exiting at 275 m/s. (a) What is the average acceleration of the bullet through the board? (b) What is the total time that the bullet is in contact with the board? (c) What minimum thickness could the board have if it was supposed to bring the bullet to a stop? Choose the correct answer. A. -5.28645 x 10^5, 4.2194 x 10^-4, 19.15 B. -6.4713 x 10^5, 5.1696 x 10^-4, 12.78 C. 6.4713 x 10^5, 5.1696 x 10^-4, 12.78 D. 5.28645 x 10^5, 4.2194 x 10^-4, 19.15
- A rock is thrown down into the well with an initial downward speed 3.6of m/s. The rock hits the bottom time 6.3 seconds later. How deep is the well?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 - what is her acceleration? 5.00 cm, 2. 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? (3.) 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?A peregrine falcon drops from rest off the top of the StantecTower, which is 250.8 m tall. It accelerates in the downwarddirection due to gravity at a rate of 9.81 m/s2 (assume no airresistance).a) How long did it take the peregrine falcon to reach the ground? b) What is its velocity after 2.75 s?
