A cyclist is travelling 15m/s she applies brakes so that she doesn't callide with a wall 18m away what deceleration must she had
Answers
QUESTION:
A cyclist is travelling 15m/s she applies brakes so that she doesn't callide with a wall 18m away what deceleration must she had
Answer:
Deceleration = 6.25 m/s²
Explanation:
given that,
A cyclist is travelling 15m/s
here,
initial velocity of the cyclist = 15 m/s
also given that,
she applies brakes so that she doesn't callide with a wall 18m away
here,
we have,
final velocity of the cyclist = 0 m/s
[it stops]
distance of wall from her = 18 m
it asks that she will not collide with the wall,
so,
we have,
initial velocity(u) = 15 m/s
final velocity(v) = 0 m/s
distance to be travel(s) = 18 m
by the equation of motion
v² = u² + 2as
where,
a = acceleration of the car
putting the values,
(0)² = (15)² + 2a (18)
36a + 225 = 0
36a = -225
a = -225/36
a = -25/4
a = -6.25 m/s²
negative of acceleration shows the deceleration
so,
Deceleration = 6.25 m/s²
so,
if she will brake the cycle with then deceleration of 6.25 m/s² the she will save herself to collide with the wall
Answer:
Deceleration = 6.25 m/s²
Explanation:
refer to attachment
