Answer:
The average acceleration of the cyclist was 0.6 m/s².
Step-by-step explanation:
Acceleration:
The rate change of velocity per unit time is call the acceleration of the object.

u= initial velocity
v= final velocity
t= time taken change of velocity.
During the final 5 seconds of a race cyclist increased her velocity from 4m/s to 7 m/s
Here v= 7 m/s and u=4 m/s t=5 seconds


=0.6 m/s²
The average acceleration of the cyclist was 0.6 m/s².
Answer:
1 and 2
Step-by-step explanation:
Answer:
14.99 hours
Step-by-step explanation:
The formula for half-life is given as,
R/R' = 2ᵃ/ᵇ...................... Equation 1
Where R= Original mass of sodium-24, R' = mass of Sodium-24 after disintegration, a = Total time taken for sodium-24 to disintegrate, b = half-life of sodiun-24.
Given: R = 1 kg, R' = 0.0156 kg, a = 90 hours
Substitute into equation 1 and solve for b
1/(0.0156) = 2⁹⁰/ᵇ
Taking the log of both side
log[1/(0.0156)] = log(2⁹⁰/ᵇ)
log[1/(0.0156)] = 90/b(log2)
90/b = log[1/(0.0156)]/log2
90/b = 6.0023
b = 90/6.0023
b = 14.99 hours
b = 14.99 hours.
Hence the half-life of Sodium-24 is 14.99 hours