A motorcycle starts from rest and has a velocity described by the graph. Determine the distance traveled by motorcycle during the time interval at (0

Q: A car takes 10 seconds to cover 30 meters distance and 12 seconds to cover 42 meters distance.…

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Q: A freight train travels at v = 60(1-e-t) ft/s, where t is the elapsed time in seconds. Determine the…

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Q: Q7: motorcyclist starting from rest travels along a straight road and for 10 s has an acceleration…

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Q: The acceleration of a particle as it moves along a straight line is given by a = (2t − 1) m/s2,…

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Q: A bowling ball is dropped from a boat so that it strikes the surface of a lake with a speed of 15…

A: There is no relation is given about time  a=10-0.01v2

Q: The a-t graph of the bullet train is shown. If the train starts from rest, determine the elapsed…

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Q: A sphere is fired downwards into a medium with an initial speed of 27 m/s. If it experiences a…

A: Given Data : Initial speed v0 : 27 m/s Deceleration of sphere a = (-6t) m/s2 Initial time t0 = 0…

Q: A particle moves along a straight line with a velocity in millimeters per second given by v = 413 -…

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Q: A particle travels along a straight line with a velocity of v = (20 - 0.05s^2) m/s, where s is in…

A: Answer : Given parameters  V = 20 - 0.05s2       ------------------- (1) Acceleration = ?   when  s…

Q: A freight train travels at v = 60(1 – e*) ft/s, where t is the elapsed time in seconds. Determine…

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Q: The airplane travelsalong a straight runway with an acceleration described by the graph. If it…

A: Find the runway length and take off time .

Q: A ball is thrown so that the motion is defined by the equations x=5t and y=2+6t-4.9t^2, where x and…

A: Given: The horizontal distance is x=5t. The vertical distance is y=2+6.4t-4.9t2. Part (a) The…

Q: A particle has an initial speed of 44 ft/s. If it experiences a deceleration of a = 312 –8 ft/s²,…

A: Given data: The initial velocity is, u=44 ft/s. The deceleration of particle is, a=3t2-8 ft/s2. The…

Q: A particle travels along a straight-line path such that in 4secs it moves from an initial position…

A: Given:-     In  4 sec, SA=-8m                          SB=+3m             In anothers  5 sec, SB to…

Q: A motorcycle starts from rest with an initial acceleration of 3.9 m/s2, and the acceleration then…

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Q: 8.) A particle moves along a path defined by polar coordinates r = 2et in ft and 0 = 8t2 in rad,…

A: Given data: Polar coordinates: r = 2et θ = 8t2 Time, t = 1s. The component of the velocity is radial…

Q: a) A car starts from rest and travels with an acceleration of 0.2 m/s? for 100 seconds. After that,…

A: here use 3 equationbof motion for find out the total time and total displacement. for solution refer…

Q: 2. A particle has an initial speed af 44 ft/s. If it experiences a deceleration of a = 31° - 8…

A: The given data are: u=44 ft/sa=3t2-8 ft/s2s=15 ft Here, u denotes the initial speed, a denotes the…

Q: A particle is moving along a straight line with the acceleration a = (18t-9t) ft/s², where t is in…

A: Velocity of a moving body is defined as the change of position(s) with respect to time(t). It is a…

Q: Q3/ A car is moving along a straight line with the acceleration a= (12t- 3t) m/s, where t is in…

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Q: As a car accelerates uniformly it passes successive kilometer marks while traveling at velocities of…

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Q: (B) A motorcycle starts from rest with an initial acceleration of 4 m/s' and acceleration then…

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Q: A motorcyclist at A is traveling at 60 ft/s when he wishes to pass the truck T which is traveling at…

A: Let t1 represent the time to full speed t2 represents the time to reach the required distance Lets…

Q: A particle moves along a straight line according to the (v-t) graph shown. If the position of the…

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Q: A two-stage rocket is launched vertically upward as shown in the graph below, Os ts 30s, it started…

A: For the given a-t graph  at t = 0, v = 0 and s = 0  To draw  v-t and s-t graph and calculate…

Q: A ball is fired downwards into a medium with an initial speed of 26 m/s. If it experiences a…

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Q: A particle moves along a straight line with a velocity in millimeters per second given by v = 338 -…

A: Answer: (a) The net displacement : ∆s = 1.08258 m. (b) The total distance travelled : D = 1.13178 m.…

Q: A motorcyclist at A is traveling at 60 ft/s when he wishes to pass the truck T which is traveling at…

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Q: A car traveling along the straight portions of the road has the velocitics indicated in the figure…

A: Given data as per question Time is taken from point A to B =3 s Time is taken from point B to C =5 s…

Q: If a particle moves along a path such that r= (2 cos t) ft and θ= (t/2) rad, where t is in seconds,…

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Q: A particle moves along a horizontal path with velocity of v = (3t2− 6t) m/s, where t is in seconds.…

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Q: The curvilinear motion of a particle is defined by vx = 50− 16t and y = 100 − 4t2, where vx is in…

A: First find the x coordinate of the position of the particle at any point by integrating the velocity…

Q: A freight train travels at v = 60(1- e ^-t) ft/s, where t is the elapsed time in seconds. Determine…

A: Given Equation  V=60(1-e-t) ft/s

Q: A motorcycle starts from rest at s = 0 and travels along a straight road with the speed shown by the…

A: The given graph is as shown below, Total distance travelled is equal to the area under the v-t…

Q: The sports car travels along a straight road such that its position is : described by the graph. the…

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Q: An airplane takes off as shown following a trajectory described by equation y = Kx, where K 2x10-4…

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Q: A particle moves along a straight line with a velocity in millimeters per second given by v = 490 -…

A: Answers: (a) ∆s = 1.528589 m. (b) D = 1.789255 m.

Q: A particle travels along a straight-line path such that in 4 s it moves from an initial position…

A: Given: in t= 4 sec C to B=-8 m to 3 m in next 5 sec, B to C = -6 m

Q: A particle travels along a straight line with a velocity v = (12 - 3t^2)m/s, where t is in seconds.…

A: Given data as per question velocity v = (12 - 3t^2)m/s Calculations v=12−3t2determining…

Q: a(m/s²)| 0.6 T/3 T t(s)

A: given data; ⇒acceleration (a)=0.6m/s2⇒distance rise(d)=40m ⇒at T s achieve maximum velocity.…

Q: The curvilinear motion of a particle is defined by vx = 50− 16t and y = 100 − 4t2, where vx is in…

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Q: A particle is moving along a circular path of 2m-radius such that its position as a function of time…

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Q: A motorcyclist at A is traveling at 60 f/s when he wishes to pass the truck T which is traveling at…

A: There are three equations of motion that are 1. V = u+ at 2. S= ut+ 1/2at2 3. V2-u2 = 2as

Q: Q1: A train starts from rest at a station and travels with a constant acceleration of 1 m/sec2.…

A: Given : Train at rest and starts from station constant acceleration (a) = 1 m/s2 We need to find the…

Q: The velocity of a particle which moves along the s-axis is given by v = 2 + 5t^3/2 where t is in…

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Q: A particle moves along a straight line with an acceleration given by a =2t-6 m/s determine the…

A: Distance is defined as the total path covered by the body during its motion while displacement is…

Q: When a train is traveling along a straight track at 2 m/s, it begins to accelerate at a = (60) m/s²,…

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Q: Q4. The position of a particle along a straight line is given by s = 22.5t)ft, where t is in…

A: Solution

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.