Answer:
a) 37.70 m/s
b)710.6 m/s²
Explanation:
Given that ;
Mass of object = 2 kg
Radius of the motion = 2m
Frequency of motion = 3 rev/s
The formula to apply is;
v= 2πrf where v is linear speed
v = 2×π×2×3 =12π = 37.70 m/s
Centripetal acceleration is given as;
a= 4×π²×r×f²
a= 4×π²×2×3²
a=710.6 m/s²
Answer: 249 seconds
Explanation:
Speed of bike = 2.52 m/s
Distance = 628 m
Time taken = ? ( let the unknown value be Z)
Recall that speed is the distance covered per unit time.
Hence, speed = Distance / Time taken
Time taken = Distance / speed
Z = 628m / 2.52 m/s
Z = 249.2 seconds (Round to nearest tenth i.e 249 seconds)
Thus, it takes 249 seconds for the girl to get to her friends house
The initial velocity is
v(0) = 16.5 ft/s
While in the water, the acceleration is
a(t) = 10 - 0.
The velocity function is
It satisfies the condition that v(0) = 16.5 ft/s.
When t = 5.7s, obtain
The depth of the lake is
Answer:
The velocity at the bottom of the lake is 12.5 ft/s
The depth of the lake is 76.2 ft
It allows it to blend in with the environment and avoid predators.