Question

While traveling along a highway a driver slows from 24 m/s to 15 m/s in 12 seconds. What is the automobile’s acceleration?

Answer 1

${ \bf{ \underline { \underline{Given \: data}}}:-}$

When automobile traveling along a highway :

◐ Initial velocity ( u ) = 24 m/s

◐ Final velocity ( v ) = 15 m/s

◐ Time taken ( t ) = 12 sec

◐ Acceleration ( a ) = ?

${ \bf{ \underline{ \underline{Solution}}}:-}$

Now, we use formula to find acceleration ( a ) of automobile.

${ \dashrightarrow{ \bf{a \: = \frac{v - u}{t} }}}$

${ \dashrightarrow{ \bf{a \: = \frac{15 - 24}{12} }}}$

${ \dashrightarrow{ \bf{a \: = - {\frac{ \cancel{9}}{ \cancel{12}}} }}}$

${ \dashrightarrow{ \bf{a \: = - \frac{3}{4} }}}$

${ \dashrightarrow{ \bf{a \: = - 0.75 \: m/ {s}^{2} }}}$

Hence, acceleration of automobile is - 0.75 m/s².

{Note: Negative value indicates slowing down or deceleration}

Answer 2

Answer:

-0.75 m/s^2

Step-by-step explanation:

so basically the formula for acceleration is:

a=(final velocity-initial velocity)/time(seconds)

and with this one it would be:

(15-24)/12

-9/12=

-3/4 or -0.75m/s^2.