A particle’s acceleration along an x axis is a = 5t, with t in seconds and a in meters per second squared. At t = 2s, its velocity is 17 m/s. What is its velocity at t = 4 s?

Q: If a flea can jump straight up to a height of 0.670 m, how long is it in the air

A: Take the upward direction to be positive. The equation of motion is given by, vy2=v0,y2+2ayΔy Here,…

Q: The instantaneous speed of a particle moving along one straight line is v(t) = ate"2t where the…

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Q: ) How long, in seconds, does it take the sandbag to reach the ground from the moment it falls off…

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Q: A particle is moving eastwards with velocity of 5 m/sec. In 10 sec the velocity changes to 5 m/sec…

A: Given: The time interval is 10 s. The initial velocity of the particle is 5 m/s in East direction.…

Q: The acceleration of a particle along an x axis is a = 6.2t, with t in seconds and a in meters per…

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Q: 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: If a car moves at the rate of 30mi/h for 6 min, then 60mi/h for 10 min, and finally 5 min/h for 3…

A: Average velocity = displacement/time

Q: A particle's position along the x-axis is given by the equation;   x(t) = 1t^4 − 2t^1 + 8 where ?x…

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Q: The graph shows Vx versus t for an object moving in a straight line. What is the average speed fromt…

A: From the graph, it can be inferred that the object is moving with a constant speed from t=0 s to t=5…

Q: An object undergoes acceleration 2.3i +3.6j m/s² for 5.6 s at which time its velocity is 33i +15j…

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Q: For a short time, the speed v of a car, in m / s, is given by v at“ + bt°, where t is the time in…

A: e is the right option

Q: Starting with a velocity of 5 knots along positive x-axis, a vessel accelerates for 10 minutes with…

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Q: A well-thrown ball is caught in a well-padded mitt. If the deceleration of the ball is 2.10×104…

A: acceleration, a = - 2.1 × 104 m/s2  Time, t = 1.85 ms final velocity, v = 0 m/s

Q: If a car moves at the rate of 30mi/h for 6 min, then 60mi/h for 10 min, and finally 5 min/h for 3…

A: Given:  First 6 min, velocity = 30 mi/hr Next 10 min, velocity = 60 mi/hr Final 3 min, velocity = 5…

Q: A ball on a porch rolls 60 cm to the porch’s edge, drops 40 cm, continues rolling on the grass, and…

A: Consider the diagram given below,

Q: An object moves in a straight line according to the law v = t^3 -6t^2+4t, where v is in meters per…

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Q: If the velocity of a particle is measured to be 0.5 in natural units(c-1), what is the velocity in…

A: Given: The velocity of the particle, v=0.5 natural unit. Require: Velocity in SI unit.

Q: A rocket ship has a position given by x(t)=bt2 meters. In order for it to reach a velocity of 5,000…

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Q: Given the velocity versus time graph. At what times is the acceleration zero? 5 4. 3 2 1 -1 -2- v…

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Q: A ball is thrown, and its velocity at time t is v(t) = (−t + 5) meters per second. What is its…

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Q: A cart is given an initial velocity of 7.6 m/s and experiences a constant acceleration of 3.6 m/s?.…

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Q: If an airplane is flying at 140 miles per hour East and turns in a smooth curve with a diameter of 3…

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Q: A rocket ship has a position given by  x=bt^2  meters. In order for it to reach a velocity of 3,000…

A: Position of rocket ship is given by : x = b×t2Final velocity (v) = 3000 m/s distance moved (d) =…

Q: According to the velocity time relation as shown in the following graph, what is the displacement of…

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Q: If a flea can jump straight up to a height of 0.670, how long is it in the air?

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Q: The typical American man has a leg length of 0.85 m and walks at a speed of 1.4 m/s. A giraffe’s…

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Q: A bald eagle flies a distance of 140 km, north in 1.5 hours. Then it flies another 45 km in the same…

A: Given data The total distance traveled by the eagle is d = 140 km + 45 km = 185 km. The total time…

Q: What must be the average speed to travel 250 km in 2 hr? And in m / s?

A: Introduction: In physics, many of the physical quantity, came across in day to day life. Speed is…

Q: A bullet is fired with a muzzle velocity of 600 m/s. If the length of the barrel is 750 mm, what is…

A: Given data: Muzzle velocity, V=600 m/s Length of the barrel, L=750 mm=750×10-3 m=0.750 m Our…

Q: The speed of an object as a function of position is given by the following equation: v² = (7) æ²…

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Q: The motion of the particle moving in space is defined by the following velocities: Vx=2t²; Vy=4-t²:…

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Q: If the velocity of a moving object is v(t)=t-2/t^2 in meters per second, then what is its…

A: Velocity is defined as the time rate of change of displacement. It is denoted by v and expressed in…

Q: The motion of a particle is described in the velocity versus time graph shown in the figure. ` v…

A: Velocity is described as the change in position of a body with respect to time in a specific…

Q: How long does it take for an object thrown straight upward with a velocity of 50 m/s, to reach the…

A: Given data:  Initial velocity (v0) = 50 m/s, upward  Required:  The taken to reach maximum height

Q: A particle’s acceleration along an x axis is a = 5.0t, with t in seconds and a in meters per second…

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Q: How far (in m) does a car going 25 m/s travel in 7 s?

A: Write the expression for distance travelled by the car .

Q: From a speed of v= 48 kph, a train decelerates at the rate of 2m/min², along the path. How far in…

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Q: a particle moves in one dimension, and its position as a function of time is given by x = (1.9m/s)t…

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Q: The height of a helicopter above the ground is given by h = 3.15t^3, where h is in meters and t is…

A: Finding the time taken by the mailbag to reach the ground.Given information:The expression of height…

Q: 16. At time t = 1 s, the velocity of the particle equals a) 3 m/s. b) 0 m/s. c) 4 m/s. d) 1 m/s. e)…

A: We have to answer the Question 16. Now, here we find a graph between velocity of particle (V) and…

Q: A particle moves according to the equation y(t) =1.5t2+4t-1, where y is in meters and t is in…

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Q: The velocity v, in meters per second, is given as a function of time t, in seconds, by v (t) =…

A: The velocity v is given as a function of time t is given by : v=-0.753t2+1.45t-7.47   The…

Q: A coin was tossed vertically straight upward with initial velocity 1.5 m/s. As the coin reaches…

A: Given data: Initial velocity, u=1.5 m/s

Q: The expression for velocity is given: v=d/t - v0. The variables are given: d= 35.0 meters, t= 9.00…

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Q: A particle moves according to the equation y(t) =1.5t²+4t-1, where y is in meters and 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 –