Let at any instant of time the speed is vo and the angle made by the bike with the horizontal is given
now we have
component of speed in x direction given as

component of speed in y direction will be

now from above two equations we can say that here
= angle with the horizontal at any instant
and since here it is a sine curve so we know that

so we have slope of graph

Power = work/time = (Force times distance)/time
= (30N *10.0m)/5.00s = 300/5 = 60 Watts
Answer:
-0.64525g
Explanation:
t = Time taken for the car to stop
u = Initial velocity = 95 km/h
v = Final velocity = 0 km/h
s = Displacement
a = Acceleration
Equation of motion

Converting to m/s²

g = Acceleration due to gravity = 9.81 m/s²
Dividing both the accelerations, we get

Hence, acceleration of the car is -0.64525g
Answer:
ν = 5.45 x 10¹⁴ Hz
Explanation:
given,
wavelength of light = 550 nm
= 550 x 10⁻⁹ m
speed of light = 1.96 x 10⁸ m/s
speed of sound = 3 x 10⁸ m/s
frequency of the light = ?
we know.

frequency of the light in the liquid is same as the frequency of the light in the air.
ν is the frequency of light


ν = 5.45 x 10¹⁴ Hz
Hence, the frequency of light in the liquid is equal to ν = 5.45 x 10¹⁴ Hz