(2c) A car starts at rest then accelerates to 10 m/s in 5 s. What is the acceleration of this car during those 5 s, assuming a constant acceleration? What would be total distance travelled in 10 s?

(1) 2m/s²

(2) 10 m

Explanation:

(1)

To calculate acceleration we use the formula below;

a = Δ V / Δ t          where;

a = acceleration

v = velocity

t = time

Δ v = v₂ – v₁

a = (10 – 0) / 5  

a = 10/5

= 2m/s²

(2)

To find distance we’ll use the formula below;

½ a * t² = x,          where;

a = acceleration,

t = time, and

x = distance

We are given t as 10s and acceleration is 2ms⁻², so;

x = ½ * 2 * 10

x = 10 m

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.