An-object-is-pulled-up-a-smooth-plane-inclined-at-angle-45-to-the-horizontal-If-the-plane-is-25-m-long-and-the-object-comes-to-rest-at-the-top-correct-to-two-decimal-places-the-i-initial-speed

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Question Number 194600 by byaw last updated on 10/Jul/23

$$$$An object is pulled up a smooth plane inclined at angle 45° to the horizontal. If the plane is 25 m long and the object comes to rest at the top, correct to two decimal places the:

(i) initial speed of the object

(ii) time taken to reach the top.

Answered by mr W last updated on 14/Jul/23

$$\left(1\right)$$$$v_1^2=v_2^2+2gh=0+2\times 10\times \frac{25}{\sqrt{2}}$$$$\Rightarrow v_1=18.80m/s$$$$\left(2\right)$$$$t=\frac{2\times 25}{18.8}=2.66s$$

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