Question

a vehicle starts from rsst and after 10 seconds its velocity is 20m/s find the acceleration and the distance travelled.(step by step only please)​

Answer 1

Acceleration is 2 m/s²

Distance is 100 m

Step-by-step explanation:

From definition of acceleration, Acceleration is the rate of change in velocity.

• Simplifying the definition, or modifying it;

`{ \boxed{ \rm{acceleration = ((final \: velocity - initial \: velocity))/(time) }}}`

• Let's formulate symbols:

`{ \boxed{ \rm{a = (v - u)/(t) }}}`

• a is acceleration
• v is final velocity, v = 20 m/s
• u is initial velocity, u = 0 m/s [ at rest ]
• t is time, t = 10 seconds

`{ \rm{a = (20 - 0)/(10) = (20)/(10) }} \\ \\{ \boxed{ \rm{ \: a = 2 \: {ms}^( - 2) }}}`

Distance = ut + ½at²

Distance = (0 × 10) + (½ × 2 × 10²)

Distance = 0 + 10²

Distance = 100 meters