SOLUTION: A car starting from rest is given a constant acceleration of 5m/s^2. (a) In how many seconds will it attain a velocity of 100 m/s^2? (b) How far will it have traveled in this same

Algebra.Com
Question 1182716: A car starting from rest is given a constant acceleration of 5m/s^2. (a) In how many seconds will it attain a velocity of 100 m/s^2? (b) How far will it have traveled in this same time?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

To find the time, use the formula for the speed gained by uniformly accelerated body

      v = at.


where "a" is the acceleration; t is the time;  v is the speed.


In your case  a = 5 m/s^2, v = 100 m/s  are given,  so


    t =  =  = 20 seconds.



Having the acceleration and time, you can now find the distance


    d =  =  =  = 5*200 = 1000  meters.    ANSWER

The problem is solved: all questions are answered.

---------------

I used standard formulas from Physics (kinematics).




RELATED QUESTIONS

A car and a truck leave the same place and travel in the same direction along a straight... (answered by math_tutor2020)
Two cars are moving in the same direction pass a point on the road at the same time. Car... (answered by HasanSahin)
A car has an acceleration of 8 m/s2. How much time is needed for it to reach a velocity... (answered by Alan3354)
A cat accelerates from rest with a constant acceleration of +8m/s^2. a) How far will it... (answered by ikleyn)
Starting from rest, a particle moving in a straight line has an acceleration,𝒂 =... (answered by Solver92311,ikleyn)
A particle travels in a straight line in such a way that,t seconds after passing through (answered by Solver92311)
1.)A ball starts at rest and rolls down a ramp, developing a speed of 50 m/s in 5... (answered by Alan3354)
A car can be stopped from initial velocity 84 km/h to rest in 55 meters. Assuming... (answered by Alan3354)
A particle travels in a straight line in such a way that; t seconds after passing through (answered by Alan3354)