synthesis problems SPI, A ball is thrown straight upward with an initial velocit

Question

synthesis problems SPI, A ball is thrown straight upward with an initial velocity of b. How far has each ball dropped in 1.5 seconds? 16 m/s. Use g 10 m/s2 for compútations listed here. c. Does the difference in the velocities of the two balls a. What is its velocity at the high point in its motion? change at any time after their release? Explain. b. How much time is required to reach the high point?SP. Two balls are rolled off atabletop that is 0.8 m above the c. How high above its starting point is the ball at its high point? d. How high above its starting point is the ball 2 seconds floor. Ball A has a horizontal velocity of 3 m/s and that of a. Assuming g 10 m/s2, how long does it take each ball b. How far does each ball travel horizontally before hitting c. If the two balls started rolling at the same time at a point ball B is 5 m/s. after it is released? e. Is the ball moving up or down 2 seconds after it is released? to reach the floor after it rolls off the edge? SP2. Two balls are released simultaneously from the top of a tall building. Ball A is simply dropped with no initial velocity, and ball B is thrown downward with an initial velocity of 12 m/s. a. What are the velocities of the two balls 1.5 seconds after the floor? 1.2 m behind the edge of the table, will they reach the they are released? floor at the same time? Explain.

Explanation / Answer

here,

3)

height of table top , h = 0.8 m

speed of ball 1 , u1 = 3 m/s

speed of ball 2, u2 = 5 m/s

a)

let the time taken to reach the ground be t

using seccond equation of motion

h = uy * t + 0.5 * g * t^2

0.8 = 0 + 0.5 * 10 * t^2

solving for t

t = 0.4 s

b)

the distance travelled by 1 , x1 = u1 * t = 3 * 0.4 = 1.2 m

the distance travelled by 2 , x2 = u2 * t = 5 * 0.4 = 2 m

c)

when the balls starts rolling 1.2 m before behind the edge of table

their vertical remains zero

so, the time taken will be same i.e 0.4 s

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