1. Two ships P and Q are moving along straight lines with constant velocities. Initially P is at a point O and the position vector of Q relative to O is (6i + 12j) km‚ where i and j are unit vectors directed due east and due north respectively. The ship P is moving with velocity 10j km h–1 and Q is moving with velocity (−8i + 6j) km h−1. At time t hours the position vectors of P and Q relative to O are p km and q km respectively. (a) (b) (c) Find p and q in terms of t. (3) Calculate the distance
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2: SPEED‚ VELOCITY AND ACCELERATION 2.1 Distance and Displacement • Distance is the total length covered by a moving object irrespective of the direction of motion‚ i.e. only the magnitude is of importance. • Displacement is the distance measured in straight line AND in a specific d__________________. Both magnitude and d_________________ are important. Example 1 A car travels 5 km due east and makes a U-turn back to travel a further distance of 3 km. Find (a) the distance covered‚ (b)
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along the circle‚ then:(a) its velocity changes but speed remains the same (b) its speed changes but velocity remains the same (c) both speed and velocity changes (d) both speed and velocity remains same 4. Which of the following statements is correct? (a) speed distance are scalar‚ velocity and displacement are vector (b) speed distance are vector‚ velocity and displacement are vector (c) speed and velocity are scalar‚ distance and velocity are vector (d) speed and velocity are vector‚ distance and displacement
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Exercises for Chapter 1 Kinematics 1. An impulsive retarding force of 3 seconds duration acts on a particle which is moving with a forward velocity of 60 m/s. The oscilloscope record of the deceleration is shown. Determine the approximate velocity of the particle at t = 9 s. [answer: -58 m/s] 2. A car can decelerate at 0.8 ‘g’ on a certain road. Find the total emergency stopping distance measured from the point where the driver first sights the danger for a speed of 100 km/hr. The time taken for
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motion of objects without considering the effects that produce the motion. This experiment will show how to determine the linear motion with constant (uniform) velocity particularly the dynamic cart and linear motion with constant (uniform) acceleration‚ (e.g. free fall of motion). At the end of the experiment we found out that the velocity is a speed that involves direction of an object as well as the time. While for the acceleration‚ it is directly proportional to the distance or height but inversely
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s−1. b. Calculate its acceleration in m s−2. 3. A Prius hybrid car starts from rest and accelerates uniformly for 8.0s. It reaches a final speed of 16 m s−1. a. What is the acceleration of the Prius? b. What is the average velocity of the Prius? c. Calculate the distance travelled by the Prius. 4. A new model Subaru can start from rest and travel 400 m in 16 s. a. What is its average acceleration during this time? b. Calculate the final speed of the
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Relative Velocity and Riverboat Problems On occasion objects move within a medium that is moving with respect to an observer. For example‚ an airplane usually encounters a wind - air that is moving with respect to an observer on the ground below. As another example‚ a motorboat in a river is moving amidst a river current - water that is moving with respect to an observer on dry land. In such instances as this‚ the magnitude of the velocity of the moving object (whether it be a plane or a motorboat)
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PROJECTILE MOTION PRACTICE QUESTIONS (WITH ANSWERS) * challenge questions Q1. A golfer practising on a range with an elevated tee 4.9 m above the fairway is able to strike a ball so that it leaves the club with a horizontal velocity of 20 m s–1. (Assume the acceleration due to gravity is 9.80 m s–2‚ and the effects of air resistance may be ignored unless otherwise stated.) a b c d e How long after the ball leaves the club will it land on the fairway? What horizontal distance will the ball travel
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how is time‚ t related to the inclination of the track? Explain why? Time and position of velocity are interrelated to each other and the height and gravitational pull affects the acceleration of a moving and a free falling object. 3. From the data obtained‚ how would you account the difference between the picket fence’s acceleration and the value of g? The value of the slope of a graph of average velocity versus time will be the acceleration due to gravity of the falling object.
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limitations of manures. Write any one function of the following: [3] (a) Lysosome (b) Golgi apparatus (c) Endoplasmic Reticulum (a) What is mixed cropping? (b) Write any two advantages of mixed cropping. 11. 12. 13. 14. [3] 15. The velocity time graph of a ball of mass 20 g moving along a straight line on a level ground is given below. How much force does the ground exert on the ball to bring it to rest? [3] 16. (a) A car accelerates uniformly from 18 kmh-1 to 36 kmh-1 in 5s.
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