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Determine a vector expression for the position of a particle whose velocity is (3t^2 - 8)i + 5j m/s.

r(t) = [integral] v(t) dt

= (t^3 - 8t + C)i + (5t + C)j m

Answered by Matteo T. • Physics tutor

1864 Views

Find, using integration, the work done in compressing a spring by a distance x.

[integral from 0 to x']dW= [integral from 0 to x'] F(x') dx'

=[integral from 0 to x']kx' dx'

=1/2k

Answered by Matteo T. • Physics tutor

3769 Views

What is a reflex arc?

A reflex is an involuntary response to a sensory stimulus. The pathway of neurones involved in a reflex is known as a reflex arc. A reflex arc - such as quickly moving your hand away from a hot flame - in...

Answered by Sundas B. • Biology tutor

15724 Views

There is no evidence for God, so belief in God is irrational. Discuss.

There is no proof for God, in the sense that would compel all rational thinkers to agree that God exists, but there is at least some evidence, the robustness of which is up for debate. For example, there ...

Answered by Dan T. • Religious Studies tutor

3390 Views

State and explain a determinant of demand for a product.

There are many possible answers, including: the price, the quality, advertising, branding, promotions, and the price and closeness of substitutes or compliments. There are also macroeconomic factors such ...

Answered by Dan T. • Economics tutor

2180 Views