A car is traveling back and forth. Its velocity (in feet per second) after t seconds is given by v(t) = 9−3t . Determine the position of the car after four seconds if s(0) = 0 (where s(t) is the position function for the car). a) Find the total distance the car traveled from t = 0 to t = 4

Q: You are driving home from school steadily at 99 km/h for 190 km. It then begins to rain and you slow…

A: How far is your hometown from school. given, Initial speedv1=99 kmhInitial distance travelleds1=190…

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: ne function s(t) describes the positi coordinate line, where s is in feet a t) = t³ – 15t², t > 0 )…

A: Velocity = ds/dt Acceleration =dv/dt

Q: The acceleration of an object (in m/s2) is given by the function a(t)=5sin(t)a(t)=5sin(t). The…

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Q: Goggles Paisano (aka Fred Flintstone) has once again entered the Indianrockolis 500. The race…

A: Given data: The number of laps is n=200. The length of each lap is s=2.5 mile. Time taken is t=2hr…

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

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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: In a marathon race (42.195 km), the winner's time is 2 hours, 18 minutes, and 35 seconds, while the…

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Q: There are flies that are flying with a constant altitude of 5 km, that has a velocity of 42km/h. At…

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Q: car is traveling at an unknown velocity. It accelerates constantly over 5.0s at a rate of…

A: GIVEN -     time (t)  = 5 sec     acceleration (a) = 3 m/s2     final velocity ( v ) = 30 m/s…

Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally…

A: Given : v = 100 m/s d = 2 m

Q: A body moving in a straight line. The following equation determines its location (3-x=2+t(t),…

A: Equation determining the location is given by:3-x=2+t(t)or t2=1-x

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: I throw a ball straight up in the air. It travels straight up 2 meters and then straight back down…

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Q: Mary is on the third floor of a building. Suddenly, she dropped her coin and the coin reached the…

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Q: Starting from rest, a particle moving in a straight line has an acceleration of a = (2t−6)m/s^2 ,…

A: Given data: Acceleration a =2t-6 ms-2 Time t= 6s To determine Position at Time t = 11 s

Q: a car moves along a path. expressed as: S = 4+² -3+² +8 2 Where s is in meters while t in seconds.…

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Q: A stone accidentally falls from rest from the edge of a 35-m-high building. When the stone is 14m…

A: Time taken by the stone to reach a height of 14m above the ground is given by:- Then from Kinematic…

Q: A person who walks for exercise produces the position-time graph shown. Calculate the average…

A: Given data:  Position vs time graph Required: The average velocity for segment A, B and C

Q: The motion of a particle which moves along the straight line is defined by the relation x(t) = t –…

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Q: The velocity of a particle is given by the function v(t)=t^2-7t+1027 , where the velocity is…

A: Given Data : The function of velocity is given as vt=t2-7t+10 The displacement of the particle in…

Q: The velocity of a car is given by the following graph/function: v(t) v(t) = 1.5+0.8t – 0.01t³ Where…

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Q: A toy car moves along a flat table, and a meter stick is used to mark its position at different…

A: Given: Initial position of toy on meter stick xi = 5.0 cm. Final position of toy on meter stick xf =…

Q: c) A car sits in an entrance ramp to a freeway, waiting for a break in the traffic. Then the driver…

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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: In the given equation, v = At² + Bx, 'v' is the velocity, 'x'is displacement, and 't'is the time.…

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Q: QUESTION 1: The velocity of a particle v(t)= Br² + Ft+G m/s . At time t = (A+6)s, the position of…

A: This problem is from Kinematics. Let's solve this problem by using simple mathematics. Please have a…

Q: Goggles Paisano (aka Fred Flintstone) has once again entered the Indianrockolis 500. The race…

A:

Q: The velocity of a particle along a straight path is v = 4 + t + 3t2, where t is time of travel in…

A: GIVEN           v = 4 + t + 3t2             When t = 1 sec  ,  s = 8 m

Q: A woman starts from her home at 9.00 am, walks with a speed of 7 km h-1 on a straight road up to her…

A: Given,Distance between home and office, d=3.5kmSpeed of woman while walking to office, v1 =…

Q: A golf ball is fired straight up into the air from ground level. It reaches a maximum height at ℎ =…

A: The objective of the question is to calculate the total time of flight of a golf ball that is fired…

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 –