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A) A robot catches a ball 6.3 s afterthrowing it vertically upward. With what sp

ID: 1668713 • Letter: A

Question

A) A robot catches a ball 6.3 s afterthrowing it vertically upward. With what speed (in m/s) did itthrow it? ( ANSWER: 3.09 × 101 ) B) A robot catches a ball 1.4 s afterthrowing it vertically upward. What height (in m) did the ballreach? (ANSWER:  2.40 × 100) A) A robot catches a ball 6.3 s afterthrowing it vertically upward. With what speed (in m/s) did itthrow it? ( ANSWER: 3.09 × 101 ) B) A robot catches a ball 1.4 s afterthrowing it vertically upward. What height (in m) did the ballreach? (ANSWER:  2.40 × 100)

Explanation / Answer

A)      Time taken by the object to reachthe ground when it is projected vertical    T   = time taken by the ball to reachmaximum height   + time taken by the ball to reach theground from maximum height          = u /g + u / g          = 2u / g      6.3   = 2 u / 9.8 initial velocity of the ball   u = 6.3*9.8 / 2                                                    = 30.87                                               = 3.09*101 m/s B)        T = 1.4s         initial velocity of theball   u = 1.4*9.8   / 2                                                   = 6.86 m/s      maximum height   H    = u2 / 2g    =6.862 / 2*9.8                                        = 2.4 m   = 2.4*100 m

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