SOLUTION: A car is initially stationary. It has a constant acceleration of 2.0 ms^-2. a. Calculate the velocity of the car after 10 seconds . b. Calculate the distance travelled by the car

Algebra ->  Test -> SOLUTION: A car is initially stationary. It has a constant acceleration of 2.0 ms^-2. a. Calculate the velocity of the car after 10 seconds . b. Calculate the distance travelled by the car      Log On


   



Question 1200445: A car is initially stationary. It has a constant acceleration of 2.0 ms^-2.
a. Calculate the velocity of the car after 10 seconds .
b. Calculate the distance travelled by the car at the end of 10 seconds .
c. Calculate the time taken by the car to reach a velocity of 24 ms^-1.

Answer by ikleyn(52769) About Me  (Show Source):
You can put this solution on YOUR website!
.
A car is initially stationary. It has a constant acceleration of 2.0 ms^-2.
a. Calculate the velocity of the car after 10 seconds .
b. Calculate the distance travelled by the car at the end of 10 seconds .
c. Calculate the time taken by the car to reach a velocity of 24 ms^-1.
~~~~~~~~~~~~~~~~~~

The general formula for the velocity is v = at for the given situation

(uniform acceleration at the zero initial speed).


Here "a" is the given acceleration; t is the time from the start, and v is the current speed.



(a)  Using this formula, you get for (a)  v = 2 m/s^2 * 10 seconds = 20 m/s.




For the traveled distance, the formula is  d = %28a%2At%5E2%29%2F2 = %282%2A10%5E2%29%2F2 = 10%5E2 = 100 meters.

It is the answer for question (b).




To answer (c), you need to find t from this simple linear equation

    v = at,  or  24 = 12*t,


from which you have  t = 24%2F2 = 12 seconds.

Solved and answered, with all necessary explanations.