slope. 3.The velocity vs. time graph is linear. The slope of line in velocity-time graph is dependent on the position-time graph. The slope of the distance vs. time graph at a point is equal to the velocity. V=9.74t+0.558 m/s 5.g=9.74±0.1 m/s2 6.[pic] 7.The accepted value fall within the range of our values. [pic] 8.The value of the acceleration obtained from step 12 is almost the same as the accepted value for the acceleration of gravity. [pic] 9.Initial velocity does not affect
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Projectile Motion Purpose: Apply the concepts of two-dimensional kinematics (projectile motion) to predict the impact point of an object as its velocity increases. Introduction: The most common example of an object that is moving in two dimensions is a projectile. A projectile is an object upon which the only force acting is gravity. That is to say a projectile is any object that once projected or dropped continues in motion by its own‚ and is influenced only by the downward force
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operations. | Vectors cannot be added‚ subtracted and multiplied following simple arithmetic laws. Arithmetic division of vectors is not possible at all. | Example: mass‚ volume‚ time‚ distance‚ speed‚ work‚ temperature | Example: displacement‚ velocity‚ acceleration‚ force | Distance and displacement Distance is defined as the ground covered by a moving object during its motion. Its SI unit is metre (m). It has only magnitude‚ but no direction. Distance can never be negative. The minimum value
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Ignore air resistance. Find the height of the table top above the floor; the horizontal distance from the edge of the table to the point where the book strikes the floor; the horizontal and vertical components of the book’s velocity‚ and the magnitude and direction of its velocity‚ just before the book reaches the floor. (Considering the direction to be negative downwards) Answers [0.600 m‚ 0.385 m‚ Vx = 1.10 m/s ‚ Vy = -3.43 m/s ‚ v = 3.60 m/s ‚ 72.2 below the horizontal]
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reference point for the position vector‚ it is enough to specify the coordinates x‚ y and z. For a moving object the position vector is a function of time. Velocity & Acceleration • Velocity is defined as the change in position over a change in time; thus the average velocity is and the instantaneous velocity is • For motion in one dimension the velocity is the slope of the position line plotted versus time. • The same logic is used in deriving the average and instantaneous acceleration resulting in: •
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that the x-component of its velocity has the constant value vx = C; that is‚ x = Ct i. On the diagram above‚ indicate the directions of the particle’s velocity vector v and acceleration vector a at point R‚ and label each vector. ii. Determine the y-component of the particle’s velocity as a function of x. iii. Determine the y-component of the particle’s acceleration. b. Suppose‚ instead‚ that the particle moves along the same parabola with a velocity whose x-component is given
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length in 10 seconds. Calculate a) speed‚ b) velocity. 5. A car travels 10 m in 5 seconds‚ 20 m in next 10 seconds and 30 m in the last 10 seconds. Find the average speed of the car. 6. A body moving in a circle of radius r covers 3/4th of the circle. Calculate the ratio of distance to displacement. 7. A train is moving with a velocity of 36 km/h. Find the distance travelled by the train in a) 1 hour‚ b) 1 minute. 8. An electron moving with a velocity of 5×104 ms-1 enters into a uniform electric
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Question What would the participant’s acceleration be if he/she sprints forward in a positive direction? Hypothesis/Prediction When a person sprints forward‚ it means he/she speeds up. Consequently‚ the acceleration should be positive. When the velocity accelerates at a constant rate‚ the acceleration should remain constant. Therefore‚ if the participant is moving toward a positive direction and the speed increases‚ then the acceleration should be positive and constant. Materials * Ticker
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Chapter 9 Problems 1‚ 2‚ 3 = straightforward‚ intermediate‚ challenging Section 9.1 Linear Momentum and its Conservation 1. A 3.00-kg particle has a velocity of [pic]. (a) Find its x and y components of momentum. (b) Find the magnitude and direction of its momentum. 2. A 0.100-kg ball is thrown straight up into the air with an initial speed of 15.0 m/s. Find the momentum of the ball (a) at its maximum height and (b) halfway up to its maximum height. 3. How fast can you set the Earth
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vertically; there is no horizontal deceleration in the absence of aerodynamic forces. Acceleration is the same regardless of the weight of the implement. Therefore‚ the vertical velocity of a projectile decreases by 9.8 m/s every second. Linear Acceleration Acceleration is a measure of the time rate of change of velocity. Acceleration can be caused by a change in speed or direction or both. For example‚ a skater who goes from a standstill to full speed quicker than another skater has greater acceleration
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