4. During a short interval of time the velocity v in m/s of an automobile is given by v = at? + bt3, where t is the time in s. the units of a and b are respectively: s* /m m/s ; m/s* m. s? ; s3 /m ; A m. s4 C m/s² ; m/s3

Q: A pulley, which can be modelled as a solid cylinder, has a total mass of 14 kg and a radius of 20…

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Q: An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2.  (Assume…

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Q: The "reaction time" of the average automobile driver is about 0.7 ss . (The reaction time is the…

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Q: Shown below is a graph of velocity versus time for a moving object. The object starts at position x…

A: Given Data:  Initial position of object x=0 m Final time t=2 s At t=2 s, velocity (v)= 10 ms

Q: A high school track coach has just purchased a new stopwatch. The stopwatch manual states that the…

A: The time of the first-place sprinter,

Q: A block is moving along the x-axis and its position varies in time according to the expression x =…

A: Given: x = 3.00 m/s2t2 a Position at t = 3.20 sxat t=3.20 = 33.202∴xat t=3.20 = 30.72 m

Q: A quadratic fit is done on a distance versus time graph of an object with constant acceleration…

A: Acceleration is defined as the rate of change of velocity with time. It is a vector quantity (has…

Q: A motorcyclist is traveling at 13.6 m/s and accelerating at 3.05 m/s? for 2.1 s, how far does it…

A: Given(s): Initial speed, u=13.6 m/s. Acceleration, a=3.05 m/s2. Time, t=2.1 s Require:  Distance…

Q: A student drives 1.91 km due west to get coffee before class. The trip to get coffee takes her 7.00…

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Q: the motion of the particle is described by the equation x(t)=at^3-bt^2. where a is 3.36 in m/s^3 and…

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Q: In heavy traffic, a car travels 26.3 km in 31.0 min. Assuming the velocity is constant, determine…

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Q: The equation for the motion of an object with constant acceleration is d = do + vt + sat, where d is…

A: Given:- A car start from rest with a constant acceleration a=4 m/s2  Speed of the bus is 15 m/s…

Q: An object's position in the x-direction as a function of time is given by the expression; x(t) =…

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Q: The height of an object thrown upward with an initial velocity of 32 feet per second is given by the…

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Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given…

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Q: n object's velocity as a function of time in one dimension is given by the expression; v(t) = 2.71t…

A: Object's velocity as a function of time is Find:Object's velocity at time

Q: An object's position in the x-direction as a function of time is given by the expression; x(t) =…

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Q: As your friend skateboards down a hill, you measure their velocity at 1.0-second intervals. You…

A: Given data:  Initial velocity at t = 0.0 s u = 0.0 m/s Final velocity at t = 2.0 s v = 4.6 m/s…

Q: A car travels with an average speed of sav = 85 mi/hr.     Part (a) Express this speed in km/hr.…

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Q: An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2.  (Assume…

A: Given,x(t) = -200 ((t+1)-1)+6t2t = 3 s

Q: Figure 1 shows the velocity-time graph of a person moving along one straight path called the x-axis.…

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Q: A box with mass 5.0kg is attached to a string tightly wound to circular frictionless pulley of…

A: Analyze the diagram of the given system. The angular acceleration of the pulley is calculated by…

Q: The graph in (Figure 1) shows the velocity of a motorcycle police officer plotted as a function of…

A: from t = os tot=5svx = 20m/svelocity is constant soacceleration is o from t=0 to t =5sAt , t= 5s vx…

Q: Solve the following two equations for the (positive) time, t, and the position, x. Assume SI units.…

A: Given Information :x = 3t2  -----Equation1x = 45t + 63 -------Equation2

Q: A box is moving along the x-axis and its position varies in time according to the expression x =…

A: Given that:- Postion of box varies with time.

Q: An Olympic bobsled goes 41 m in 2.6 s. How fast was it travelling in m/s? Be sure to answer with the…

A: Speed is given by V = distance/time

Q: Suppose that you drive the 10.0 km from your university to home in 20.0 min. Calculate your average…

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Q: Alice is riding a bike at 12 mph, but decides to sprint.  She takes 0.7 s to accelerate to 19 mph.…

A: Acceleration defined as a rate of change of velocity. Acceleration is a vector quantity, because it…

Q: A world-class runner can run half a mile in a time of 1 min and 42 s. What is the runner's average…

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Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –