please I need you to show all work and equations. 7) A rocket starts from rest a

Question

please I need you to show all work and equations.

7) A rocket starts from rest and upward nom the surface of For the first 5.00 sof as motion. moves the earth. upward. whan is rhe vertical acceleration of the rocket is given by a, 1,75 where the my direction is 2, the height of the rocket above the Narrace of the earth at t 5.00 s? 8) A man stands on the 23.0 m tall building, and throws a rock with a velocity of 25.0 mis magnitude roof of What is the speed of the rock just at an angle of 60.0 above the heeizontal. You can ignore air before it strikes the ground?

Explanation / Answer

7)

here

a = dv / dt

integrate on both side dv = a dt

v = integrate( 1.75 *t^2) dt

v = 1.75 * t^3 / 3

v = 0.5834 t^3

then

dy / dt = 0.5834 * t^3

integrate on both side we get

y = 0.5834 * t^4 / 4

y = 0.1458 t^4

y = 0.1458 * 5^4

y = 91.125 m

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