Answer:
9m/s²
Explanation:
Given parameters:
Initial velocity = 30m/s
Final velocity = 0m/s
Distance traveled = 50m
Unknown:
Deceleration = ?
Solution:
To solve this problem, we apply the proper motion equation;
V² = U² + 2aS
V is the final velocity
U is the initial velocity
a is the acceleration
S is the distance
Insert the parameters and solve;
0² = 30² + 2(a)50
-900 = 100a
a = -9m/s²
The negative value indicates deceleration.
The motorcycle decelerates at a rate of 9m/s²
It’s acceleration is 0 if it was traveling at a constant speed
Answer:
Acceleration of the plane, a = 5.4 g
Explanation:
It is given that,
Speed of the jet plane, v = 1890 km/h = 525 m/s
Radius of the arc, r = 5.20 km = 5200 m
The plane is moving in the circular path, the centripetal acceleration will act on it. It is given by :



We know that, the value of g is, 


So, the acceleration of the plane is 5.4 g. Hence, this is the required solution.
The smallest size of the insect that the bats can detect corresponds to the wavelength of the chirp they emit.
Their chirp has a frequency of

and the speed of the chirp is equal to the speed of sound in air:

Therefore the wavelength of the chirp is

which corresponds to a size of 4.76 mm.