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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is stronger then the terminal velocity that is when the object is going at a small velocity. Terminal Velocity When there is equal force acting on an object when falling such as gravity and air resistance at that stage it is called constant speed or terminal velocity. When the object is dropped the force of gravity initially is 100% but as it falls the air resistance becomes stronger making the gravity weaker and at one stage there will be terminal velocity. In some cases due to the mass
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1. Alice throws the ball to the +X direction with an initial velocity 10m/s. Time elapsed during the motion is 5s‚ calculate the height that object is thrown and Vy component of the velocity after it hits the ground. 2. John kicks the ball and ball does projectile motion with an angle of 53º to horizontal. Its initial velocity is 10 m/s‚ find the maximum height it can reach‚ horizontal displacement and total time required for this motion. (sin53º=0‚ 8 and cos53º=0‚ 6) 3. The boy drops
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consideration of the forces that cause the motion. There are four activities done in this experiment. Graphical analysis of human motion‚ where displacement vs time and velocity vs. time were graphed. Graphical analysis of motion where in the 10th seconds the total displacement is 18.75m‚ average velocity is 1.88m/s and instantaneous velocity is 3.76m/s. Reaction time where one of the normal reaction time among the group is 0.16s and the reaction time while someone is distracting the member is 0.30s‚ and
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VECTOR & RELATIVE VELOCITY Set 1 1. What is the total displacement of a trip in which a person travels 10 km[N] and then 24 km[E]? 2. What is the total displacement of a trip of 50 km[W] followed by a trip of 100 km[N30°E]? 3. What is the total displacement of a trip of 100 km[N30°E] followed by a trip of 50 km[W]? What is significant about the result when compared to the answer for question 2? 4. A small boy goes to a store 2 blocks[N]‚ 3 blocks[E]‚ l block[S]‚ 5 blocks[W]
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Srivastava’s Srivastava’s MOTION IN ONE DIMENSION 1. A particle is projected vertically upwards with a velocity 20 m s1 from the top of the tower of height 100 m. Determine the time it takes to reach the ground. Answer: t 2 1 6 sec. A particle is dropped from the top of the tower of height h. At the same instant another particle is projected vertically upwards from the bottom of the tower with such a velocity that it will be able to just reach the top of the tower. When and at what height from ground
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released until it strikes the ground. 4. The time it takes for the ball to hit the ground depends on v0 ‚ g and h. 004 10.0 points The velocity of a projectile at launch has a horizontal component vh and a vertical component vv . When the projectile is at the highest point of its trajectory‚ identify the vertical and the horizontal components of its velocity and the vertical component of its acceleration. Consider air resistance to be negligible. 4. It cannot be determined. 002 10.0 points
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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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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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the displacement y of the stone? | The stone‚ starting with zero velocity at the top of the building‚ is accelerated downward by gravity. | | Reasoning The upward direction is chosen as the positive direction. The initial velocity v0 of the stone is zero‚ because the stone is dropped from rest. The acceleration due to gravity is negative‚ since it points downward in the negative direction. Solution | 2). After 3.00 s of free-fall‚ what is the velocity v of the stone? Solution 1). A football game
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