A particle moves in a straight line according to the law equation of motion        s = t2 – 20t + 20  where s is in meters and t is in seconds. Starting from t = 0, after how many seconds will it stop?

Q: The acceleration of an object (in m/s?) is given by the function a(t) = 4 sin(t). The initial…

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Q: A car starts from 2.0 m/s and accelerates at 4.0 m/s2 for 6.0 s. How far has it traveled, in meters?…

A: It travelled 84 m

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 suspicious-looking man runs as fast as he can along a moving sidewalk from one end to the other,…

A: Given:  time to go, t = 2.5 s  time to come back, t' = 0 s

Q: Raindrops fall 1.46 × 10° m from a cloud to the ground. If they were not slowed by air resistance,…

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Q: If it takes a horse 175 seconds to make 3.00 laps around a horse track (each lap is equal to 1.00…

A: Average velocity  V = distance covered/time.   V= r/t.

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: A boat moves at a distance (in km) of  S(t) = t2 - 400t  where t  in minutes is the time passed…

A: Given value--- S(t) = t2 - 400t . boat moving 6:00 AM to 9:00 AM. We have to find--- What is the…

Q: I took 2.28km and converted it to 2280 meters then divided by 3200 and ended up with .71m/s but it…

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Q: A jet accelerates at a constant rate from rest, traveling 900 m in 3.0 s. What is the magnitude of…

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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: Given the quantities a = 4.3 m, b = 9.2 s, c = 45 m/s, what is the value of the quantity d = Number…

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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: An adventure racer ran 1.7 km north, then 3.2 km 63° to the south of due east, then 1.4 km west. She…

A: Answer..

Q: The displacement of a particle is given by s = 3t° - 42t2 + 109t - 39 where s is in feet and t is in…

A: Given:  The displacement of the particle (s) is s=3t3-42t2+109t-39 The rate of change of…

Q: The displacement of a particle is given by s= 5t³ - 59t² + 87t-68 where s is in feet and t is in…

A: First we find expression  for velocity  and acceleration then after putting value of t as required…

Q: The displacement of a particle is given by s= 5t³-83t² + 120t-43 where s is in feet and t is in…

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Q: The velocity of a particle moving along x-axis is defined by v=s3-4s2+6s where v is in m/s and  s in…

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Q: The displacement of a particle is given by s= 2t3-42t² + 120t - 68 where s is in feet and t is in…

A: Given that: The displacement of the particle is s = 2t3-42t2+120t-68 The time is given as: t1=3.3…

Q: Problem 5. The velocity of a particle moving along the x -axis is defined by v = kx°- 4x? + 6x ,…

A: The velocity of a particle moving along the x-axis is  v = kx3 - 4x2 + 6x Where v is in m/s x is in…

Q: A straight running track is 2400 m long. A runner starts from the start line of the track, runs to…

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Q: The velocity of an object is given by, V= des te = u + at dt where, u is the initial velocity, a is…

A: The velocity of the object is as The initial time is t=0 and s = 7 metersFind:- if the and…

Q: A student witnesses a flash of lightning and then t = 1.5 s later the student hears the associated…

A: Given data:  The clap of thunder heard after (t) = 1.5 s Speed of sound wave (v) = 343 m/s Speed of…

Q: a(1), m/s² 10 - 1, s 1 3 - 10

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Q: The displacement of a particle is given by s = 2t³ - 40t² + 84t-54 where s is in feet and t is in…

A: Given that:s=2t3-40t2+84t-54

Q: The displacement of a particle is given by s = 4t³ - 60t² + 100t - 58 where s is in feet and t is in…

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Q: The motion of a particle is defined by the function  x = at^3 - bt^2 + ct + d  where x is in…

A: We have particle whose motion is described by x = at^3 - bt^2 + ct + d where a = 1.2, b = 6.1, c =…

Q: A rabbit runs across a parking lot. The path is such that components of rabbit's position with…

A: Displacement of the rabbit is given by x=t2+10y=−9t+5

Q: Answers should be in 3 decimal places.    A particle moves along a straight line in such a manner…

A: Given value--- s = (t3 + 6 t2 – 4t)/10 . We have to find--- Determine the distance (in meter)…

Q: The displacement of a particle is given by s = 4t³ - 60t² + 100t - 58 where s is in feet and t is in…

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