What is Its velocity at time t ? [Express in component/unit-vector Conn.] What w

Question

What is Its velocity at time t ? [Express in component/unit-vector Conn.] What was its speed at / - 4 s? A projectile is fired upward from level ground at a 35 degree angle above the horizontal The initial velocity was 25 ms. What is its horizontal displacement at the end of the first second? What is its horizontal displacement at the end of 2 seconds? How high above the ground is the projectile at the end of the first second? How high above the ground is the projectile at the end of 2 seconds? When does the projectile hit the ground?

Explanation / Answer

a)

a= 5 sqrt(t) i + 3 j cm/s^2

dv = a.dt

integrating ,

v = integral of a.dt

v = [integral of 5sqrt(t)dt ]i + [ integral of 3dt ] j

v = (2.5 /sqrt(t) ) i + 3tj

b) at t= 4 s

v = (2.5 /sqrt(4) ) i + (3 *4)j

v = 1.25i + 12j cm/s

speed = sqrt(1.25^2 + 12^2) = 12.06 cm/s

Please one question at a time.

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