Question

In standstill water a steam boat is accelerated 3 m per square from position of rest in an interval of 8 sec determine the distance travel by the boat within the interval

Answer 1

Given:-

• Acceleration ,a = 3m/s
• Initial velocity ,u = 0m/s
• Time taken ,t = 8s

To Find:-

• Distance travel by the boat ,s

Solution:-

We have to calculate the distance covered by the boat in given time interval. Using 2nd equation of motion

• s = ut + 1/2at²

where,

• v is the final velocity
• a is the acceleration
• u is the initial velocity
• t is the time taken
• s is the distance covered

Substitute the value we get

$:\implies$ s = 0×8 + 1/2×3 × 8²

$:\implies$ s = 0 + 1/2 × 3 × 64

$:\implies$ s = 3/2 × 64

$:\implies$ s = 3 × 32

$:\implies$ s = 96 m

• Hence, the distance covered by the steam boat is 96 metres.

Answer 2

Given :-

In standstill water a steam boat is accelerated 3 m per square from position of rest in an interval of 8 sec

To Find :-

Distance covered

Solution :-

We know that

s = ut + 1/2 a t²

s = (0)(8) + 1/2 × 3 × (8)²

s = 0 + 1/2 × 3 × 64

s = 3/2 × 64

s = 3 × 32

s = 96 m