An object's position can be modeled with the following function: s(t) = 2cos(2πt) +t^2, where t is measured in seconds. What will the object's acceleration be after 2 seconds?

Q: The motion of a particle is given by the relation a = 6t, where tis in sec and a in m/s2. If s = 8m…

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Q: The displacement of a particle is given by s = 4t3-70t2 + 112t-34 where s is in feet and t is in…

A: Given: s=4t3-70t2+112t-34 ft

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 position of a particle in space at time tis: r(t) = (sec(t)) * i + (tan t) * j + 4/3 tk. Write…

A: Given: The position of the particle is  rt=secti+tantj+43tk…

Q: Acar is going 19 m/s for 27 s. Draw an accurate graph showing the distance versus time for the car.…

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Q: The displacement of a particle is given by s = 2t3 - 48t2 + 100t - 69 where s is in feet and t is in…

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Q: An object is moving in the air (defying gravity) so that its height after t seconds is given by…

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Q: In m/s?, what is the acceleration when t = 7.5 sec? Express your answer as an integer, not as a…

A: The acceleration at a time in velocity-time graph represents the at that time.

Q: The displacement of a particle is given by s=4t³-67t2+103t-66 where s is in feet and t is in…

A: The displacement of the particle is given by, s=4t3-67t2+103t-66. TO DETERMINE: (a) The displacement…

Q: The acceleration of a particle is given by the equation: A=3×t if V=2 m/s at t=1 sec and S=12 m at…

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Q: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

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: (ft) Given the s-t graph beside, compute for the instantaneous acceleration att = 1s and t = 2 s. s…

A: Velocity is displacement per unit time.  V = ds/dt  Acceleration is rate of change of velocity  a=…

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: Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that one such…

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Q: A car starts moving at 60 mi/hr. After some time, the car speed reduces to 40 mi/hr and stays there…

A: Let's denote the time the car moved at 60 mi/hr as t (in hours). Then, the time the car moved at 40…

Q: The distance s(t), in meters, is given as a function of time, in seconds, below.…

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Q: The position-time graph that describes the motion of an object is given as in the figure below. if…

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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: If the nerve cell connecting the spinal cord to your feet is 1.9 m long, and the nerve impulse speed…

A: The objective of this question is to find out the time it takes for a nerve signal to travel from…

Q: space probe on the surface of Mars sends a radio signal back to the Earth, a distance of 9.86 ✕ 107…

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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: where t is the number of seconds since observations began. 11. During the time interval from t = 0…

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Q: Pedro is driving a motorcycle along Espana boulevard. His position X (in meters) at any given time t…

A: Pedro's position is given by, xt=1.124t2+6.022 Pedro's initial position will be when t=0.…

Q: A car starts moving at time t=0 and goes faster and faster. Its velocity is shown in the following…

A: To determine the distance traveled by car during the first 12 seconds. We will divide the time…

Q: 7. A bowling ball traveling with constant speed hits the pins at the end of a bowling lane 20.0m…

A: Given bowling lane length l=20.0m T=2.50s vs=340m/s

Q: A basketball is thrown and the motion is given by the equation h(t)=16t^2+32t+4ht=16t2+32t+4, where…

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Q: 1 4. The plot below shows the velocity of a hockey puck as a function of time. The puck starts at…

A: We are given velocity versus time graph. We draw position vs time and acceleration vs time graph by…

Q: A space probe on the surface of Mars sends a radio signal back to the Earth, a distance of 7.27 ✕…

A: The time taken by the wave is given by:

Q: An object's position in the as a function of time obeys the equation; x (t) = 3t – 2t³ + 1.5t where…

A: Given displacement as function of time  Velocity is rate of change of displacement . Therefore…

Q: A speeding car is traveling at a constant speed of 39.5 m/s when it passes a police car. The police…

A: Given The constant speed of the speeding car is v = 39.5 m/s. The acceleration of police car is a =…

Q: The acceleration of an object (in m/s2) is given by the function a(t)=7sin(t)a(t)=7sin(t). The…

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Q: An object's position as a function of time in one dimension is given by the expression; 3.89t2 +…

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Q: one from the deck of a bridge. cer. The speed of sound is 342 rels from the water surface up

A: When the stone hits the water surface, sound waves are generated and propagated in all possible…

Q: An object is travelling in 1-dimension (i.e. along the x- axis) with a velocity described by the…

A: The acceleration of an object is defined as the time rate of change of velocity. That is:…

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 –