1.

A golf ball accelerates of a tee at changing its velocity from to .How long did the golf ball accelerates?​

Answer»

Given

A golf ball accelerates off a TEE at 15 m/s² changing its velocity from 0 m/s to 50 m/s down

To Find

How LONG did it take the golf ball to accelerate

Solution

We know that

Equation of motion

\sf \longrightarrow v=u+at

Here

u = initial velocity

v = final velocity

a = acceleration

t = time

Units

u = metres per second (m/s)

v = metres per second (m/s)

a = metres per second squared (m/s²)

t = seconds (s)

According to the question

We are ASKED to find how long did it take the golf ball to accelerate

Therefore

We must find "t"

Hence

\sf \longrightarrow t=\dfrac{v-u}{a}

Given that

A golf ball accelerates off a tee at 15 m/s² changing its velocity from 0 m/s to 50 m/s down

Hence

u = 0 m/s

v = 50 m/s

a = 15 m/s²

Substituting the values

We get

\sf \longrightarrow t=\dfrac{50-0}{15}  \: s

\sf \longrightarrow t=\dfrac{50}{15} \ s

On further simplification

We get

\sf \longrightarrow t=3.333 \ s

Therefore

\sf \longrightarrow t \approx 3.3 \ s

Hence

  • Time taken by the golf ball to accelerate = 3.33 seconds



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