Question 7. (20 points) Suppose thatball is dropped (p,-0) fom a tower a) How fa

Question

Question 7. (20 points) Suppose thatball is dropped (p,-0) fom a tower a) How far will it have fallen after 3.00 secoucds? Iguore air resistance b) If the ball in part (a) is thrown down with to : 5 m/s from the tower, find its position and its speed after 3 seconds? (20 points A projectile is shot horizontally at 23.4 m/s from the roof of a building 55 m tall and experi ences negligible air resistance a) Determine the time necessary for the projectile to reach the ground below b) Determiue the distance from the base of the building that the projectile lands c) Determine the horizontal and vertical components of the velocity just before the projectile reaches the ground. Question 9 (30 points) Thrce vectors are shown i agure below. Their niagnitudes are in units of neters a) Determine the and y components b) Determine the magnitude of-A- c) Determine the direction of- -B. of , and. 56.0 28.0° 6(C= 31.0)

Explanation / Answer

Question 7 )

Part A) using the kinematic equation ,

h = ut + (1/2)*g*t^2

Here u = 0 ,

h = (1/2)*9.8*3^2

h = 44.1 m

Thus the ball falls by 44.1 m after 3 seconds

b) Given , u = 5 m/s

H = ut + (1/2)gt^2

H = (5*3) + (1/2)*9.8*3^2

H = 59.1 m

Now , using

v = u + gt

v = 5 + (9.8*3)

v = 34.4 m/s

Thus after 3 seconds ,

position ( distance travelled) = 59.1 m

speed = 34.4 m/s

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