Question

. A car is moving on a straight road with uniform acceleration. Plot the speedtime graph based on the values given. Time(s) 0 10 20 30 40 50 Speed(m/s) 5 10 15 20 25 30.
Determine from it (i) the acceleration of the car (ii) the distance travelled by the car in 50 sec.

Answer 1

Answer:

Hope this will help...

Explanation:

IN THE FIRST PIC-

IT'S A UNIFORM TIME GRAPH

IN THE SECOND PIC-

SOLUTIONS HAVE BEEN DONE

Answer 2

GIVEN :

A car is moving on a straight road with uniform acceleration.

Time = 0, 10, 20, 30, 40, 50

Speed = 5, 10, 15, 20, 25, 30

TO FIND :

• The acceleration of the car.
• The distance travelled by the car in 50 sec.

FORMULA :

Acceleration = $\dfrac {Velocity}{time}$

SOLUTION :

With the help of graph,

To calculate the acceleration of the car,

Acceleration = $\dfrac {BC}{AC}$

Put the values in the above formula

Acceleration = $\dfrac {30-5}{50-0}$

Acceleration = $\dfrac {25}{50}$

Acceleration = $\dfrac {5}{10}$

Acceleration = $0.5 m/s^{2}$

To calculate the distance travelled by the car in the 50 sec,

With the help of graph,

Distance traveled by truck = Area of trapezium OABD.

$D=\dfrac{1}{2}\times (AO+BD)\times OD$

Put the value in the above formula,

$D= \dfrac{1}{2} \times(5+30)\times50$

$D= \dfrac{1}{2} \times(5+30)\times50$

$\therefore$ D = 875 m

$\therefore$ The acceleration of the car is $0.5 m/s^{2}$

The distance covered by the car in 50 sec is 875 m.