Answer:
Following are the answer to this question:
Explanation:
In option 1:
The value of n is= 7, which is (base case)
when n=k for the true condition:
when n=k+1 it tests the value:
since k>6 hence the value is KH>3 hence proved.
In option 2:
when:
for n=1:(base case)
0<=0 \\ condition is true
when the above statement holds value n=1
when n=k
when n=k+1
In option 3:
when n=1:
when n=k
hence n=k+1 is true.
Answer:
D. 4x as much
Explanation:
The answer is pretty simple. The question is asking about 10m/s and 20m/s right? Take a look at the energy at each point on the graph. At 10m/s the kinetic energy is 100 on the graph. At 20m/s the kinetic energy is 400. You'll notice that 100 x 4 is 400 - That's the answer.
You can also prove this mathematically. The formula for kinetic energy is
The question says: constant mass so we can ignore that for now.
(1/2) * 10^2 is (1/2) * 100 = 50
for the 20m/s ball it would be
(1/2) * 20^2 = 400 * 1/2 = 200
Once again, you see that it is 4x