The equation of motion of a particle started at t = 0 is given by x =5 sin (20 t + T/3), where x is in centimetre and t in second. When does the particle (a) first come to rest
Q: A particle moves according to a law of motion s = f(t) = t³ - 15t² + 72t, tz 0, where t is measured…
A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…
Q: A particle moving along a straight line is subjected to a deceleration a = (-2v^2) m/sec^2, where v…
A: Integrate the given equation to determine the equation of velocity.
Q: An object has an initial velocity of 10 m/s and an acceleration of 3 m/s squared. How long will it…
A: The acceleration is defined as the rate of change of velocity.
Q: A rock thrown straight up into the air has a velocity of y(t) = -9.8t + 20 meters per second after t…
A: Given data The velocity of the rock is yt=-9.8t+20 The duration of the rock is t = 2 s
Q: A car in stop-and-go traffic starts at rest, moves forward 25min 8.0s, then comes to rest again.What…
A: The distance covered by the car in last 2.0 seconds can be calculated using given steps.
Q: A baseball is thrown straight down from a height of 38 meters. If the ball strikes the ground at 30…
A: Given data: Height (h) = 38 m Final velocity (v) = 30 m/s, downward g = 9.80 m/s2 Required: Initial…
Q: The displacement (in meters) of a particle moving in a straight line is given by the equation of…
A: Velocity and displacement.
Q: An electron is moving in a straight line with a velocity of 4.0 x 105 m/s. It enters a region 5.0 cm…
A: We have to find the electron's velocity when it emerges from given region. Given that, vi=4×105…
Q: An object moves along the x-axis according to the equation x(t) = (3.00t3 – 2.00t + 1.00)m.…
A: Given,
Q: (a) Calculate the height (in m) of a cliff if it takes 2.10 s for a rock to hit the ground when it…
A:
Q: In a slap shot, a hockey player accelerates the puck from a velocity of 6.5 m/s to 39 m/s in one…
A: The acceleration for the given case is v=u+ata=v-ut=39m/s-6.5 m/s0.0329 s=987.84 m/s2
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) A soccer player kicks a rock horizontally off a 44 m high cliff into a pool of water. If the…
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Q: The equation of motion of a particle started at t=0 is given by x = 10sin(10t+π/3) where x is in…
A:
Q: A tortoise can run with a speed of 0.12 m/s, and a hare can run 20 times as fast. In a race, they…
A: (a) Time taken for the race is, DT=35 cm+DHvt=0.35 m+20vt-4 min0.12 m/st=0.35 m+200.12 m/st-240…
Q: A vehicle accelerates down an on ramp and eventually reaches highway speed. The position of the…
A: The position of the particle at any time is given by the equation: x(t) = At2t +B Now as the…
Q: The velocity of a particle is v = {3i+ (6-2t)j} m/s. If r=0 when t=0, determine the displacement of…
A: The velocity and displacement are vector quantities. That is they have both magnitude and direction.…
Q: An unidentified flying object (UFO) is observed to travel a total dist starting and ending at rest,…
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Q: The speed of an object as a function of time is given by the following equation: v² = (6) e What is…
A: We know, acceleration (a) is rate of change of velocity oe speed (v) a=dvdt
Q: An unidentified flying object (UFO) is observed to travel a total distance of 23000 m, starting and…
A:
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- A baseball is hit almost straight up into the air with a speed of 24 m/s . Estimate how long it is in the air. Express your answer to three significant figures and include the appropriate units.(a) A soccer player kicks a rock horizontally off a 35 m high cliff into a pool of water. If the player hears the sound of the splash 2.84 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s. 17.468 X The time given in the problem can be divided into two intervals: the time for the rock to hit the water and the time for the sound to return to the kicker. m/s (b) What If? If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock have to be (in m/s) for the soccer player to hear the sound of the splash 2.84 s after kicking the rock? 16.502 X m/s Need Help? Submit Answer Read It Watch ItSuppose the motion of an object can be modeled using the equation s(t) = 7.3sin(1.5t) where time is measured in seconds and distance is measured in inches. Find the object's position (in inches) at time t = 0.48 s.
- A particle moves according to a law of motion s = f(t) = t³ - 15t² + 72t, t≥ 0, where t is measured in seconds and s in feet. (a) Find the velocity at time t. v(t) = 31²-30t+72 ft/s (b) What is the velocity after 5 s? v(5) = -3 ft/s (c) When is the particle at rest? t = 4 t = 6 s (smaller value) s (larger value) (d) When is the particle moving in the positive direction? (Enter your answers in ascending order. If you need to use -∞o or co, enter -INFINITY or INFINITY.) x, x )U([ (1 X X ) (e) Find the total distance traveled during the first 9 s. X feet (f) Draw a diagram to illustrate the motion of the particle. (Do this on paper. Your instructor may ask you to turn in this graph.) (g) Find the acceleration at time t and after 5 s. a(t) = X X ft/s² a(5) = (h) Graph the position, velocity, and acceleration functions for 0 S t ≤ 9. (Do this on paper. Your instructor may ask you to turn in this graph.) (i) When is the particle speeding up? (Enter your answers in ascending order. If you…Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally steps barefoot on a pebble. About how much time does it take the nerve impulse to travel from the foot to the brain (in s)? Assume the person is 1.60 m tall and the nerve impulse travels at uniform speed.In a slap shot, a hockey player accelerates the puck from a velocity of 8.00 m/s to 40.0 m/s in the same direction. If this shot takes 3.33 x 10-2 s, calculate the distance over which the puck accelerates.
- A bag is thrown vertically upwards, it takes 1.02 s to reach the highest point, with what speed is it thrown? the bag? It only places the numerical value, WITHOUT UNITS. Use at least 4 DECIMALS for the procedure. Put only 2 DECIMALS in the result without rounding.The acceleration of a particle moving in a straight line is √? m2/s, where S is in m. If when t=0 the v= 0 and S=0. Determine:(a) The velocity when S=16 mb) What time it takesc) Find S, v and a as a function of tAn unidentified flying object (UFO) is observed to travel a total distance of 49000 m, starting and ending at rest, over a duration of 3.07 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2. 20,796 g s 10,398 g s 2,120 g s 1,060 g s
- A cricket player accelerates the ball from a velocity of 5.5 m/s to 39 m/s in one direction. If this shot takes 3.5 × 10-2 s, calculate the distance, in meters, over which the ball accelerates.The height (feet) of an object moving vertically is given by s = - 16t + 208t + 156, where t is in seconds. Find the object's velocity at t= 5, its maximum height and when it occurs, and its velocity when s = 0.A muon (an elementary particle) enters a region with a speed of 5.45 x 106 m/s and then is slowed at the rate of 1.30 x 1014 m/s². (a) How far does the muon take to stop? m (b) Graph x versus t for the muon. x (m) 0.12 0.10 0.08 0.06 0.04 0.02 O 0.12 0.10 0.08 0.06 0.04 0.02 O x (m) Graph v versus t for the muon. v (m/s) 6x106 5x10 4x10 3x106 2x106 O 1x106 10 v (m/s) 6x10 5x10 4x106 3x106 2x106 1x106 10 Enter a number. Additional Materials 10 20 10 20 20 30 20 30 6x 10p 5x10 LL 4x106 3x10 2x10 1x106 t (ns) 30 40 30 40 40 t (ns) 40 t (ns) t (ns) O x (m) 0.12 0.10 0.08 0.06 0.04 0.02 O x (m) 0.12 0.10 0.08 0.06 0.04 0.02 v (m/s) v (m/s) 6x10 5x10 4x106 3x106 2x106 1x106 10 10 10 20 10 20 20 30 20 30 30 30 -t (ns) 40 40 40 40 t (ns) t (ns) t (ns)