What is the magnitude of the velocity at time t = 15.0 s?

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4. A projectile is fired at time t = 0.0 s from point 0 at the edge of a cliff, with initial velocity components of Vox = 30 m/s and V oy = 100 m/s The projectile rises, and then falls into the sea at point P. The time of flight of the projectile is 25 s. Assume air resistance is negligible. 

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What is the magnitude of the velocity at time t = 15.0 s?

May 18th, 2015

According to given question

Vox = 30 m/s 
Voy = 100 m/s 
time of flight = 25 s 

At t = 25s max height is reached 
At t = 15.0 s projectile is moving upwards 

Vy at t=15 s = Voy - gt = 100 - (9.81)(15) = 100 - 147 =- 47 m/s 
Vx at t=15 s = Vox = 30 m/s 

Size of velocity at t = 15 s = √[(-47)² + (30)²] = √430,000 = 56 m/s ANS


May 18th, 2015

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