Home » » The distance xm travelled by a particle in time t seconds is described by the eq...

# The distance xm travelled by a particle in time t seconds is described by the eq...

### Question

The distance xm travelled by a particle in time t seconds is described by the equation x = 10 + 12t2, Find the average speed of the particle between the time interval t = 2s and t = 5s

A) 60 ms-1

B) 72 ms-1

C) 84 ms-1

D) 108 ms-1

### Explanation:

speed = $$\frac{dx}{dt}$$

$$\frac{dx}{dt}$$ = 10 + 12t2

$$\frac{dx}{dt}$$ = 24t

$$\frac{dx}{dt}$$ =24 x 3

$$\frac{dx}{dt}$$ = 72 ms-1

## Dicussion (1)

• speed = $$\frac{dx}{dt}$$

$$\frac{dx}{dt}$$ = 10 + 12t2

$$\frac{dx}{dt}$$ = 24t

$$\frac{dx}{dt}$$ =24 x 3

$$\frac{dx}{dt}$$ = 72 ms-1