Question

Example 4 : A motorboat starts from rest
and moves with uniform acceleration. If it
attains the velocity of 15 m/s in 5
5 s.
calculate the acceleration and the distance
travelled in that time.​

Answer 1

Question:-

A motorboat starts from rest and moves with uniform acceleration. If it attains the velocity of 15 m/s in 5 s. Calculate the acceleration and the distance travelled in that time.

To Find:-

Acceleration and distance travelled in that time.

Given:-

u = 0 ; v = 15m/s ; t = 5sec ; a = ? ; s = ?

Formulas:-

• v = u + at
• v² - u² = 2as
• s = ut + 1/2 at²

Solution:-

=> v = u + at

=> 15 = 0 + 5a

=> 15 = 5a

=> a = 15/5

=> a = 3m/s²

u = 0 ; v = 15m/s ; t = 5sec ; a = 3m/s² ; s = ?

s = ut + 1/2 at²

s = 1/2 × 3 × 5 × 5

s = 37.5 m

Hence verified