A body of mass 50 kg accelerates from rest at the rate of 8 m/sec2. What distance would the body travel in 15 seconds?
A
:
800 metres
B
:
750 metres
C
:
850 metres
D
:
900 metres
General Science
Physics
Motion
Answer
Option 4 : 900 metres
Explanation
Mass of body (m) = 50 kg
Acceleration (a) = 8 m/sec2
Time (t) = 15 seconds
According to kinematics equation, assuming acceleration is constant,
\(S = ut + \frac{1}{2}a{t^2}\)
Where
S = Distance travelled by the body (m)
u = Initial velocity (m/s)
a = Acceleration (m/s2)
t = Time taken
As body starts from rest u = 0 i.e. Initial velocity.
\(S = 0 + \frac{1}{2} \times 8 \times {15^2} = 900\:m\)
S = 900 metres
Distance is 900 metres.