# A particle

A particle moves in a straight line so that its velocity (m/s) at time t seconds is given by v(t) = 3t

Initially the particle is 8 meters to the right of a fixed origin.

After how many seconds is the particle at the origin?

^{2}-4t-4, t > 0.Initially the particle is 8 meters to the right of a fixed origin.

After how many seconds is the particle at the origin?

### Correct answer:

Tips to related online calculators

Do you want to convert velocity (speed) units?

Do you want to convert time units like minutes to seconds?

Do you want to convert time units like minutes to seconds?

#### You need to know the following knowledge to solve this word math problem:

## Related math problems and questions:

- The position

The position of a body at any time T is given by the displacement function S=t^{3}-2t^{2}-4t-8. Find its acceleration at each instant time when the velocity is zero. - General line equations

In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the line is given by the slope form: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) t - Circular motion

The mass point regularly moves in a circle with radius r = 3.4 m angular velocity ω = 3.6 rad/s. Calculate the period, frequency, and centripetal acceleration of this movement. - Free fall 5

Jeremy accidently dropped his toy stuffed animal from the balcony of his apartment on the fourth floor. The toy hit the ground at a velocity of 16.0 meters/second. At impact, it took 2.0 seconds for the toy’s velocity to reach 0 meters/second. If the toy - Overload

What overload in g (g-force) has passed the pilot if he accelerated from 0 to 600 km/h in 3 seconds? - Two people

Two straight lines cross at right angles. Two people start simultaneously at the point of intersection. John walking at the rate of 4 kph in one road, Jenelyn walking at the rate of 8 kph on the other road. How long will it take for them to be 20√5 km apa - Abyss

The stone fell into the abyss: 2 seconds after we heard hitting bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s^{2}and the speed of sound in air v = 343 m/s) - Acceleration 2

if a car traveling at a velocity of 80 m/s/south accelerated to a velocity of 100 m/s east in 5 seconds, what is the cars acceleration? using Pythagorean theorem - Acceleration

The car accelerates at rate 0.5m/s^{2}. How long travels 400 meters and what will be its speed? - Friction coefficient

What is the weight of a car when it moves on a horizontal road at a speed of v = 50 km/h at engine power P = 7 kW? The friction coefficient is 0.07 - Two ships

The distance from A to B is 300km. At 7 am started from A to B a ferry with speed higher by 20 km/h than a ship that leaves at 8 o'clock from B to A. Both met at 10h 24min. Determine how far they will meet from A and when they reach the destination. - The tram

The tram is moving with acceleration a = 0.3m/s2. How long will it pass the first meter of the track? How long does it take 10 meters? What is its speed at the end of the 10 meters track? - An acceleration

The car goes on a straight road at a speed of 72 km/h. At some point, the driver starts to brake and stops the car in 5 seconds. Find: (a) the acceleration during braking (b) the distance traveled during braking. - Exponential warm

Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt) . If jello salad with 30 degree - 3 pupils

3 pupils cleaned 10 meters of the stream in 1 hour. How many meters of the stream will clean 18 students in 4 hours? - Journey

Charles and Eva stands in front of his house, Charles went to school south at speed 5.4 km/h, Eva went to the store on a bicycle eastwards at speed 21.6 km/h. How far apart they are after 10 minutes? - Rhombus MATH

Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120°