A speed boat moving at a velocity of 25 m/s runs out of gas and drifts to a stop 3 minutes later 100 meters away. What is its rate of deceleration?

Question

A speed boat moving at a velocity of 25 m/s runs out of gas and drifts to a stop 3 minutes later 100 meters away. What is its rate of deceleration?

1 Answer

Impact of this question

2512 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-30T16:30:15

$0.139 m/s^2$

Explanation:

From Newton's Equations of Motion, we have:

$v=u+at$

where,
$v$ is the final velocity of the boat,
$u$ is the initial velocity of the boat,
$a$ is the acceleration of the boat,
$t$ is the time taken by the boat to accelerate/decelerate from $u$ to $v$ .

Since the boat decelerates from $25 m/s$ to a stop (which is $0 m/s$ ) in 3 minutes ( $=3*60=180$ seconds, since all units must be from the SI system),

$u=25 m/s$

$v=0 m/s$

$t=180 s$

Substituting these values in the above equation, we have:

$0=25+a*180$

$-25=a*180$

$a=-25/180=-0.139 m/s^2$

The negative sign indicates that the boat has decelerated. We can simply write that deceleration is equal to $0.139 m/s^2$

Science

Math

Humanities

... and beyond

A speed boat moving at a velocity of 25 m/s runs out of gas and drifts to a stop 3 minutes later 100 meters away. What is its rate of deceleration?

1 Answer

Explanation:

Related questions

Impact of this question