You travel 1000 m in 25 seconds, accelerating the whole time at a constant rate. What is the rate of acceleration? Initial velocity (vi) = 0 m/s.  Hint: Look at the kinematic equations!

Q: I'm attempting to calculate acceleration for the following: A plane lands on a runway with a speed…

A: Initial velocity of the plane is 120 m/s towards east and finally, the plane stops, that is, the…

Q: A particle’s velocity along the x-axis is described by v(t) = A t + B t2, where t is in seconds, v…

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Q: The position vs. time graph of a moving particle for a time interval of 23 seconds is shown below.…

A: 1) Displacement is defined as the difference in the initial and final position. From the above…

Q: A sports car driver turned his car 15.0 km [E 30.0° N], and then turned again 30.0 km [W 45.0° N] to…

A: Here car first travel = 15.0 km [E 30.0° N],then turned again travel = 30.0 km [W 45.0° N]total time…

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: a person walks at 4.5 meters per second from point a to b. Then walks back from point b to a at a…

A: Given data:  From point a to b Speed (V1) = 4.5 m/s From point b to a Speed (V2) = 3.2 m/s Required:…

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: 1. Christina drives her Mustang along a straight road at a constant speed of 110 km/hr. She passes a…

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Q: I need help on this problem: You go south of your friend's house 150 miles away at 50.0 MPH. Your…

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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: Suppose you are asked to compute the tangent of 5.00 meters. Is this possible? Why or why not?

A: The tangent is basically a trigonometric function defined on a subset of real numbers (except…

Q: A particle moves along a straight line so that its position is defined by the relation meters…

A: Given:              s=(-1.5t3+13.5t2)Calculate :1. position,veocity and accleration at t=6s2. the…

Q: Shown below is the velocity vs. time graph for a particle's one-dimensional motion. v (m/s) t(s) W…

A: Acceleration is the rate of change of velocity with respect to time. So, if velocity and…

Q: part 1.  Elizabeth shoots a bullet up vertically, starting at position (height) y=4.00m and initial…

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Q: Sarah is driving on a freeway in a forest at 13.0m/s when suddenly a deer runs in front of her and…

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Q: SITUATION 15: A particle moves along a straight line such that its position is defined by sp=t-3t²…

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Q: A race car starts from rest and travels east along a straight and level track. The eastward…

A: Given data -                           initial velocity of race car = 0 m/s (along east)…

Q: A tricycle moving at a constant speed of 12.2 m/s approaches towards a jeep that is initially at…

A: Given: The constant speed of the tricycle is 12.2 m/s. The initial separation between vehicles is…

Q: A spacecraft starts from rest, and makes a journey to a destination 355000 km from its starting…

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

A: Acceleration of particle a =(2t - 6)m/s2 a =dvdt dv =a.dt integrate both side V = ∫04(2t -6) dt V =…

Q: Bartholomew jogs from home at 3.50 m/s north for 1380 seconds. Then, he turns around and jogs 2.40…

A: Given: The jogger jogs from home at 3.50 m/s north for 1380 seconds. The jogger then turns around…

Q: #1) Let's say an object (pick your favorite object) moves along the x - axis with the following…

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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: 1. The position of a particle moving in a straight line is given by the equation s = 4(1+t) - where…

A: Since you have posted multiple questions with multiple sub-parts, we will solve first three…

Q: You decide to drop a water balloon on a friend as a horribly inconsiderate prank that they shall…

A: Given that:- Speed of bike=11.4m/s

Q: Can you help me solve this problem please? A hot air ballon is rising into the air with a constant…

A: Here Initial velocity of the air ballon  = u 4.75 m/sHeight from the ground when a bag is dropped =…

Q: The velocity-versus-time graph shown below corresponds to a cyclist moving alo cyclist from t= 0 s…

A: Solution: From the graph

Q: a) acceleration of the particle at t = 20s c) position of the particle at t = 5s, 10s and 20s d)…

A: Given,                The velocity of the particle as a function of time is given by…

Q: A bus makes a trip according to the position-time graph shown in the drawing. What is the average…

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Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

Q: 2. At time t=0 s, an object is observed at x = 0 m; and its position along the x axis follows this…

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Q: A car travels in the +x-direction on a straight and level road. For the first 4.00s of its motion,…

A: As per our guidelines, we can answer only one question. vav = 6.25 m/s time, t = 4 s

Q: An object’s position as a function of time is x(t) = 9 m + 1.5 m/s t– 3 m/s^2 t^2 a. Calculate the…

A: Given  x(t)=9 + 1.5t- 3t2 Now We find velocity and acceleration as a function of time…

Q: At time t0=0.0s, a car, starting from rest, moves south. It continues moving south, and by time tf…

A: Initial time: t0 = 0.0 s;Final time: tf = 121 s;Distance: d = 6689 m.North direction is along…

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: Below figure gives the acceleration a versus timet for a particle moving along an x axis. The…

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Q: Wags decides to go on another adventure. He begins by traveling east for 100m. He then moves 75 m in…

A: Given data,  Distance travelled towards East = 100m Distance travelled towards west =75 m With…

Q: An airplane decelerates at a constant rate of 4.63 m/s² when it land runway of an airport. For a…

A: Given: De-acceleration of airplane, a=-4.63 m/s2 Time duration, t=15.8 s Distance, s=1378 m

Q: The velocity of a particle which moves along the s-axis is given by v = 13 + 8t 4/3 where t is in…

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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 –