Question

Riding his bike, dewayne can start from rest and get going at 12m/s in 4 seconds. Beth can get going 16m/s in 5 seconds. Who has a greater acceleration? How do you know?

Answer 1

Answer: Beth

Explanation: Dewayne (a) = 12/4 = 3m/s^2.

Beth (a) = 16/5 = 3.2 m/s^2.

So, Beth is the answer.

Answer 2

Answer: The acceleration of Beth is more than the acceleration of Dewayne.

Step-by-step explanation:

Acceleration is defined as the rate of change of velocity with respect to time.

Mathematically,

`a=(v-u)/(t)`

where,

v = final velocity

u = initial velocity

t = time taken

• For Dewayne:

We are given:

`v=12m/s\\u=0m/s\\t=4sec`

Putting values in above equation, we get:

`a=(12-0)/(4)=3m/s^2`

Acceleration of Dewayne =
`3m/s^2`

• For Beth:

We are given:

`v=16m/s\\u=0m/s\\t=5sec`

Putting values in above equation, we get:

`a=(16-0)/(5)=3.2m/s^2`

Acceleration of Beth =
`3.2m/s^2`

Hence, the acceleration of Beth is more than the acceleration of Dewayne.